Let 4 3 be a point on the terminal side of theta Find the ex

Let (4, 3) be a point on the terminal side of theta. Find the exact values of sin theta, sec theta, and tan theta. Sin theta = sec theta = tan theta =

Solution

point is (4,3)

tan theta= b/a

here b= 3 and a=4

therefore tan theta=3/4

opposite=3 and adjacent=4

therefore hypotenuse= sqrt(4^2 +3^2)=5

sin theta=opposite/hypotenuse= 3/5

cos theta= adjacent /hypotenuse=4/5

sec theta=1/cos theta=5/4