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      <image:caption>Average of Rebecca’s HSC English exam mark and her moderated assessment mark.</image:caption>
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      <image:caption>The next 6 weeks will be responsibility free!</image:caption>
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      <image:caption>Is there such thing as too many M&amp;Ms?</image:caption>
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      <image:title>Blog - 6 reactions you are having to the end of 2017</image:title>
      <image:caption>Who even are you without your friends?</image:caption>
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      <image:title>Blog - 6 reactions you are having to the end of 2017</image:title>
      <image:caption>You're like a kid in a candy shop.</image:caption>
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      <image:title>Blog - 6 reactions you are having to the end of 2017</image:title>
      <image:caption>Extroverts on the first day of the holidays</image:caption>
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      <image:title>Blog - 6 reactions you are having to the end of 2017</image:title>
      <image:caption>Are you happy, scared or upset?</image:caption>
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    <lastmod>2017-10-16</lastmod>
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      <image:caption>Example 1 – Solve \(\sqrt 3 \tan x + 1 = 0\)  for \(0^\circ\le x \le 360^\circ \) \(\begin{array}{l}\sqrt 3 \tan x + 1 = 0\\\tan x =  - \frac{1}{{\sqrt 3 }}{\rm{  }}\\x = \left( {180^\circ- 30^\circ } \right),\left( {360^\circ- 30^\circ } \right)\\\therefore x = 150^\circ {\rm{, }}330^\circ \end{array}\) Note: Since we are solving tan x to a negative ratio, the solutions are in the second and fourth quadrants where the tan ratio is negative. The reference angle is  \({\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right) = 30^\circ \).</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/535ca443e4b0f06595beec65/1507161690409-Q7MQHZ9FDZ39BZG56G98/Example+2+-+solve+for+cosx.png</image:loc>
      <image:title>Blog - How to Solve Trigonometric Equations - Part 1</image:title>
      <image:caption>Example 2 – Solve \(4{\cos ^2}x - 1 = 0\)  for \(0^\circ\le x \le 360^\circ \) \(\begin{array}{l}4{\cos ^2}x - 1 = 0\\{\cos ^2}x = \frac{1}{4}\\\cos x =  \pm \frac{1}{2}\\x = 60^\circ ,\left( {180^\circ- 60^\circ } \right),\left( {180^\circ+ 60^\circ } \right),\left( {360^\circ- 60^\circ } \right)\\\therefore x = 60^\circ ,120^\circ ,240^\circ ,300^\circ \end{array}\) Note: Since we are solving cos x to both positive and negative ratios, there is a solution in every quadrant. The reference angle is \({\cos ^{ - 1}}\left( {\frac{1}{2}} \right) = 60^\circ \) .</image:caption>
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      <image:caption>Example 3 – Solve \(\cos x = 0\)  for \(0^\circ\le x \le 360^\circ \) As observed from the graph, \(\cos x\)  is 0 (i.e. at the x-axis) when \(x = 90^\circ \) or \(270^\circ \) .</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/535ca443e4b0f06595beec65/1507162587585-TEPUI5C0GPOLDORLZNTN/Example+4+-+solve+cosecx.png</image:loc>
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      <image:caption>Example 4 – Solve \({\mathop{\rm cosec}\nolimits} x =  - 1\) for \(0^\circ\le x \le 360^\circ \) \(\begin{array}{l}{\mathop{\rm cosec}\nolimits} x =  - 1\\\frac{1}{{\sin x}} =  - 1\\\sin x =  - 1\\\therefore x = 270^\circ \end{array}\)</image:caption>
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      <image:caption>Skip the stationery and enjoy the extra cash!</image:caption>
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      <image:caption>You aren't fooling anyone by ignoring your stress</image:caption>
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    <loc>https://www.pinnaclecoaching.com.au/blog/2015/10/13/usyd-or-unsw-location-cost-degree-law-commerce-med-medicine-science-psychology-engineering-architecture-computer-scholarships-transport-rankings-quality-atar</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2016-06-13</lastmod>
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    <loc>https://www.pinnaclecoaching.com.au/blog/2015/10/10/atar-equivalents-raw-marks-hsc-scaled-atar-my-exam-report-mark-english-maths-biology-physics-chemistry-economics-science-pdhpe-music-geography-history-food-languages-sdd-ipt-industria-pxbey</loc>
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    <lastmod>2016-08-20</lastmod>
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      <image:title>Blog - How well do MY HSC SUBJECTS SCALE? ATAR EQUIVALENTS OF EXAM MARKS; Easy Explanation!  What mark do I need to get? How does scaling work? Do my subjects scale badly?</image:title>
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  </url>
  <url>
    <loc>https://www.pinnaclecoaching.com.au/blog/2015/9/5/which-uni-should-i-choose</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2016-06-13</lastmod>
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  </url>
  <url>
    <loc>https://www.pinnaclecoaching.com.au/blog/2015/9/14/school-terms-and-public-holidays-for-nsw-high-schools</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2016-06-11</lastmod>
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  </url>
  <url>
    <loc>https://www.pinnaclecoaching.com.au/blog/2015/9/12/hsc-study-guides-by-smh</loc>
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    <lastmod>2016-07-30</lastmod>
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  </url>
  <url>
    <loc>https://www.pinnaclecoaching.com.au/blog/2015/9/5/what-you-can-and-cannot-bring-into-an-hsc-exam</loc>
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    <lastmod>2016-06-13</lastmod>
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  <url>
    <loc>https://www.pinnaclecoaching.com.au/blog/2015/9/5/choosing-a-university-degree-when-youre-not-sure-what-you-want-to-do</loc>
    <changefreq>monthly</changefreq>
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    <lastmod>2016-06-13</lastmod>
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    <loc>https://www.pinnaclecoaching.com.au/blog/2015/8/23/how-to-create-a-study-timetable-that-you-will-follow</loc>
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    <priority>0.5</priority>
    <lastmod>2016-06-13</lastmod>
    <image:image>
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    <lastmod>2016-06-18</lastmod>
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    <loc>https://www.pinnaclecoaching.com.au/blog/2015/8/1/2015-hsc-exam-timetable</loc>
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    <lastmod>2016-05-07</lastmod>
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    <lastmod>2016-06-13</lastmod>
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    <lastmod>2016-06-11</lastmod>
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    <lastmod>2016-06-18</lastmod>
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    <lastmod>2016-06-11</lastmod>
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    <lastmod>2016-06-13</lastmod>
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      <image:caption>*Whilst Sydney Grammar School is not officially a selective school, we have added it here as they still select their high school students based on academic merit.</image:caption>
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    <lastmod>2016-06-13</lastmod>
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    <lastmod>2016-06-13</lastmod>
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    <lastmod>2016-06-13</lastmod>
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  <url>
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    <loc>https://www.pinnaclecoaching.com.au/blog/2014/4/30/term-2-2014-specials</loc>
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    <lastmod>2014-05-03</lastmod>
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