\sin x=\frac 35, \ \ x \in [\frac{\pi}{2},\pi]I know that if \sin x=\frac 35 then t

Reese Munoz

Reese Munoz

Answered question

2022-01-22

sinx=35,  x[π2,π]
I know that if sinx=35 then the length of the opposite edge is 3 and length of the hypotenuse is 5. So, that,
cosx=45, tanx=34
My question is about, how we can check that given x radian is in the specified range?

Answer & Explanation

chaloideq1

chaloideq1

Beginner2022-01-23Added 11 answers

x[π2,π] means the angle is in Quadrant 2, where sine ratios are positive, but cosine and tangent ratios are negative -- you probably learned this as the CAST rule.
In this case, your answers should be cosx=45  and  tanx=34

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