SOLUTION: Given that sin theta = k, and that 90 < theta < 180, find expressions for cos theta and tan theta.

Algebra.Com
Question 1174871: Given that sin theta = k, and that 90 < theta < 180, find expressions for cos theta and tan theta.
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!




Given sin(x)=k, use that to find an expression for cos(x).



Plug in the given expression for sin(x).

Cosine is negative in quadrant II, so write the expression as a negative value.

Then




RELATED QUESTIONS

given that sin theta = k, and that 90 (answered by greenestamps)
Given that tan(theta)=5/4 , pi< theta < 3pi/2, find sin(2theta), cos(2theta),... (answered by lwsshak3)
If sin(theta) = k and theta is obtuse, find an expression for tan (90 + theta) (answered by Edwin McCravy)
Given cos(theta)=4/9 and csc(theta)<0, find sin(theta) and... (answered by lwsshak3)
Given cos theta = -1/5 and tan theta < 0, find cot theta and sin... (answered by MathLover1,math_tutor2020,MathTherapy)
you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact... (answered by lwsshak3)
given angle theta is in the 1st quadrant,and tan theta equals 5/12, find sin theta cos... (answered by lwsshak3)
find sin theta and cos theta if tan theta equals 3/4 and sin theta... (answered by lwsshak3)
given sin(theta)= -1/5 and tan(theta)< 0, find the exact value of... (answered by richard1234)