If sin A -8-17- find the value of A cos A -cosec A cos AA- 6-23-815-15C- 10-83D- 23-8

The correct option is D sin A = 8/17 cosec A = 17/8 cosA = √(1 sin^2A) = √(1 64/289) = √(225/289) = 15/17 secA = 17/15 secA cosA + cosecA cosA = 17/15 * ...

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Standard X

Mathematics

Trigonometric Ratios

If sin A =8/1...

Question

If sin A = $\frac{8}{17}$ , find the value of secA cosA + cosecA cosA.

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Solution

The correct option is D

sin A = $\frac{8}{17}$

cosec A = $\frac{17}{8}$

cosA = $\sqrt{1 - s i n^{2} A}$

= $\sqrt{1 - \frac{64}{289}}$ = $\sqrt{\frac{225}{289}}$ = $\frac{15}{17}$

secA = $\frac{17}{15}$

secA cosA + cosecA cosA = $\frac{17}{15}$ * $\frac{15}{17}$ + $\frac{17}{8}$ * $\frac{15}{17}$

= 1 + $\frac{15}{8}$ = 2 $\frac{7}{8}$

= $\frac{23}{8}$

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If sin A = 817, find the value of secA cosA + cosecA cosA.

The correct option is D sin A = 817 cosec A = 178 cosA = √1−sin2A = √1−64289 = √225289 = 1517 secA = 1715 secA cosA + cosecA cosA = 1715 * 1517 + 178 * 1517 = 1 + 158 = 278 = 238

If sin A = $\frac{8}{17}$ , find the value of secA cosA + cosecA cosA.