Given 15 cot A = 8, find sin A and sec A. from Mathematics Intr

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 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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 Multiple Choice QuestionsShort Answer Type

3.

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

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4. Given 15 cot A = 8, find sin A and sec A.


Let us draw a right triangle ABC, right angled at B.
It is given that:
15 cot A = 8
rightwards double arrow              space space cotA space equals space 8 over 15 equals AB over BC


Let us draw a right triangle ABC, right angled at B.It is given that:

Let
AB = 8K, BC = 15K
Using Pythagoras theorem, we have
AC2 = AB2 + BC= (8K)2 + (15K)2
= 64K2 + 225K2
= 289K2
So,
AC = 17K
Now,
AC = 17K
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 Multiple Choice QuestionsLong Answer Type

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

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If cot θ = 7 over 8 comma evaluate: 
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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)
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#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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