Question

If 4 sin theta - 3 cos theta = 0, then find sec theta.cosec theta

Answer 1

Step-by-step explanation:

4 sin - 3 cos = 0

4 sin = 3 cos

sin / cos = 3/4

tan = 3/4

so perpendicular = 3x

base = 4x

hypotenuse = 5x

sec = hypo / base = 5x / 4x = 5/4

cosec = hypo / perpendicular = 5x / 3x = 5/3

sec * cosec = 5/4 * 5/3 = 25/12

Answer 2

Answer:

4sin theta=3 cos theta now divide by cos theta that implies 4tan theta=3 tan theta=3/4

Step-by-step explanation:

by triangle sin theta=3/5& cos theta=4/5, sec theta=5/4,cosec theta=5/3 sec theta.cosec theta=5/4×5/3=25/12 so the answer is 25/12