{"id":1552,"date":"2023-09-29T10:21:26","date_gmt":"2023-09-29T10:21:26","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1552"},"modified":"2023-09-29T10:22:50","modified_gmt":"2023-09-29T10:22:50","slug":"week-7-and-8-jss-3-second-term-mathematics-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-7-and-8-jss-3-second-term-mathematics-notes\/","title":{"rendered":"Week 7 and 8 – Jss 3 Second Term Mathematics Notes"},"content":{"rendered":"

WEEK SEVEN
\nMID TERM EXAMINATION
\nWEEK 8
\nTHE TRIGONOMETRIC RATIOS
\nThe 3 trigonometric ratios are sine (sin), cosine (cos) and tangent (tan)
\n\"\"\/Consider the right-angled triangle below
\n\"\"\/
\n\t\t\"\"\/\"\"\/
\n\t\t\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/<\/p>\n

\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0Hypotenuse: the longest side is called hypotenuse<\/p>\n

    \n
  1. \n
    Tangent of an Angle\n<\/div>\n

    In any right angle triangle tangent = <\/p>\n

    \u00a0Example
    \nUse the table of tangent to write down the values of the following (a) tan 36o<\/sup> (b) tan 23.5o<\/sup> (c) tan 45o<\/sup>
    \n\t\t\t\t\t<\/sub><\/li>\n<\/ol>\n

    Solution<\/p>\n

      \n
    1. \n
      Tan 36o<\/sup>. look for 36o<\/sup> under the column headed x tan 36o<\/sup> = 0.7265\n<\/div>\n<\/li>\n
    2. \n
      Tan 23.5o<\/sup> look for 230 <\/sup>under the column headed x. then move across until under the column headed 0.5o<\/sup> to find 0.4348 tan 23.5o<\/sup> = 0.4348\n<\/div>\n<\/li>\n
    3. \n
      Tan 450<\/sup> = 1\n<\/div>\n<\/li>\n<\/ol>\n

      \"\"\/
      \n\t\tExercise: in ABC, \u0108 = 90, B = 28o<\/sup> and CA = 12cm. Find BC. Give your answer to 2.s.f
      \nSINE AND COSINE OF AN ANGLE
      \nSine =, Cosine =
      \nThe three ratios can be summarized in the word SOH CAH TOA
      \nSin =, \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Cos, \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0tan
      \nExample<\/strong>: Use tables of sine and cosine to find (a) Sin 46.65o<\/sup> (b) cos 15.94o =<\/sup> 0.9615
      \nSolution
      \n<\/strong><\/p>\n

        \n
      1. \n
        Sin 46.65o<\/sup> = 0.7266 (b) cos 15.94o <\/sup>\n\t\t\t\t<\/div>\n<\/li>\n<\/ol>\n

        \"\"\/\"\"\/\"\"\/\"\"\/Exercise: Find the size of an in the triangles below<\/p>\n

          \n
        1. \n
          \"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(b)\n<\/div>\n<\/li>\n<\/ol>\n

          \u00a0
          \n\u00a0
          \n\u00a0
          \n\u00a0
          \n\u00a0
          \n\u00a0
          \n\t\t\t<\/strong>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

          WEEK SEVEN MID TERM EXAMINATION WEEK 8 THE TRIGONOMETRIC RATIOS The 3 trigonometric ratios are…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,142],"tags":[],"class_list":["post-1552","post","type-post","status-publish","format-standard","hentry","category-posts","category-second-term-jss3-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1552","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=1552"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1552\/revisions"}],"predecessor-version":[{"id":1553,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1552\/revisions\/1553"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=1552"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=1552"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=1552"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}