Question

Given 15 cot a = 8 find sin a and sec a

Answer 1

Answer:

Sin a = 15/17 and Sec a = 17/8

Step-by-step explanation:

15 cot a = 8

⇒ cot a = 8/15

we know cot θ = B/P

B = 8x and P = 15x

H² = B² + P²

H = $\sqrt{64x^{2} + 225x^{2} }$

H = 17x

Now we have,

Sin a = P/H

        ⇒ 15/17

Sec a = H/B

         ⇒17/8

Answer 2

Answer:

Thus,

cot a =8/15

adj/opp=8/15

So, as pwr pythagorus triplet ,

hyp=17

Thus,

$\sin(a) = \frac{15}{17}$

$\sec(a) = \frac{17}{8}$

I hope it will help you

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