Question

Choose the correct answer in each of the following questions:
If `sin theta=(a)/(b) " then " cos theta=?`
A. `(b)/(sqrt(b^(2)-a^(2)))`
B. `(sqrt(b^(2)-a^(2)))/(b)`
C. `(a)/(sqrt(b^(2)-a^(2)))`
D. `(b)/(a)`

Answer 1

Correct Answer - B
`cos^(2)theta=(1-sin^(2)theta)=(1-(a^(2))/(b^(2)))=(b^(2)-a^(2))/(b^(2))rArrcostheta=(sqrt(b^(2)-a^(2)))/(b)`.