Solve the following problem: 2sintheta=sectheta

Answer 1

2sinx = secx = 1/cosx

2sinxcosx = 1

sin2x = 1

2x = sin^-1(1) = 90

x = 90/2 = 45 degrees = pi/4 radians

check the answer:

2sin45 = 2sqr2/2 = sqr2 = about .707

sec45 = 1/cos45 = 1/sqr2/2 = 2/sqr2 = sqr2 = about .707