Question

If cosθ = 15/25, 0°<θ<90°, find sinθ and tanθ in fraction form.​

Answer 1

Answer:

sin theta=20/25, tan theta=20/15

Step-by-step explanation:

we know that

$\sin( {theta \: }^{2} ) + \cos( {theta}^{2} ) = 1$

(sin^2 theta)^2+(15/25)^2=1

(sin^2theta)^2 + 225/625=1

(sin^2theta)^2 =1-225/625

(sin^2theta)^2=625-225/625

(sin^2theta)^2=400/625

Taking square root

sin^2theta=20/25

We also know that

Tan theta=sin theta/cos theta

Tan theta=20/25/15/25

Tan theta=20/15

Hope this helped you

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