Please show work Suppose theta is in standard postion and th

Please show work

Suppose theta is in standard postion and the given point is on the terminal side of theta. Give that exact value of the indicated trig function for theta.

(18,24); Find cos theta

Same Question as before but diffrent point and find tan theta..

(-3,8); Find tan theta.

Solution

Point is (18,24)

Tan theta=y/x=24/18 = opposite/adjacent

Hypotenuse=sqrt(opposite²+ adjacent²) = sqrt(576+ 324) = sqrt900=30

cos theta=adjacent/hypotense= 18/30=3/10

Second question

Point is (-3,8)

Tan theta=y/x=8/-3= -(8/3)