If  calculate cos A and tan A. from Mathematics Introduction
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    Introduction to Trigonometry

    Multiple Choice QuestionsLong Answer Type

    1. In ΔABC, right angled at B. AB = 24 cm, BC = 7 cm. Determine:
    (i) sin A cos A,
    (ii) sin C, cos C.
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    2. In the given figure, find tan P - cot R.
    938 Views
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    Multiple Choice QuestionsShort Answer Type

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    3.

    If sinA space equals space 3 over 4 comma space calculate cos A and tan A.

    Let us draw a right angle triangle, right angled at B.
    We know that:
    space sin space straight A space equals space 3 over 4 space equals space BC over AC
     Let BC = 3K,  AC = 4K
    where K is a positive number.
    Let us draw a right angle triangle, right angled at B.We know that: 
    Using Pythagoras theorem, we have
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    rightwards double arrow        space space space space space space left parenthesis 4 straight K right parenthesis squared space equals space AB squared plus left parenthesis 3 straight K right parenthesis squared
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    rightwards double arrow              space AB squared space equals space 16 straight K squared minus 9 straight K squared
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    Now,  cosA space equals space AB over AC equals fraction numerator square root of 7 straight K over denominator 4 straight K end fraction space equals fraction numerator square root of 7 over denominator 4 end fraction

    and    tanA space equals space BC over AB equals fraction numerator 3 straight K over denominator square root of 7 straight K end fraction equals fraction numerator 3 over denominator square root of 7 end fraction.
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    4. Given 15 cot A = 8, find sin A and sec A.
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    Multiple Choice QuestionsLong Answer Type

    5.

    Given space secθ space equals space 13 over 12 comma space  calculate all other trigonometric ratios.

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    6. If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
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    7.

    If cot θ = 7 over 8 comma evaluate: 
    fraction numerator left parenthesis 1 plus sinθ right parenthesis space left parenthesis 1 minus sinθ right parenthesis over denominator left parenthesis 1 plus cosθ right parenthesis space left parenthesis 1 minus cosθ right parenthesis end fraction

    117 Views
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    Multiple Choice QuestionsShort Answer Type

    8. If 3 cot A = 4, check whether
    fraction numerator 1 minus tan squared straight A over denominator 1 plus tan squared straight A end fraction equals cos squared straight A space minus space sin squared straight A or not.
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    Multiple Choice QuestionsLong Answer Type

    9. In triangle ABC, right angled at B, if <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre> find the value of :
    (i) sin A cos C + cos A sin C 
    (ii) cos A .cos C - sin A.sin C.
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    10. In ΔPQR, right angled at Q. PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
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