Question

if 17sinA=8,find the value of cosA and tanA​

Answer 1

Answer:

Here is your answer step-by-step. Hope it helps you.

Answer 2

$Given \:17sinA = 8$

$\implies sinA = \frac{8}{17} \: ---(1)$

$i ) Cos^{2} A = 1 - sin^{2} A \\= 1 + \Big(\frac{8}{17}\Big)^{2} \\= 1 - \frac{64}{289} \\= \frac{289-64}{289} \\= \frac{225}{289}$

$Cos A = \sqrt{ \frac{225}{289}} \\= \frac{15}{17} \: ---(2)$

$iii ) tan A = \frac{sin A}{cos A} \\= \frac{\frac{8}{17}}{\frac{15}{17}} \\= \frac{8}{15} \: --(3)$

Therefore.,

$\red{ Cos A } \green { = \frac{15}{17}}$

$\red{ tan A } \green { = \frac{8}{15}}$

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