Question

sin square 135 + sec square 300 +tan square 120

Answer 1

sin(120)

Since 120 is in the 2nd quadrant, the reference angle is 180 - 120 or 60 degrees.

sin(60) = sqrt%283%29%2F2

Since sin is positive in the 2nd quadrant sin(120) = sqrt%283%29%2F2

cos(300)

Since 300 is in the 4th quadrant, the reference angle is 360-300 = 60 degrees.

cos(60) = 1/2

Since cos is positive in the 4th quadrant, cos(300) = 1/2 and cos%5E2%28300%29+=+%281%2F2%29%5E2+=+1%2F4

tan(135)

Since 135 is in the 2nd quadrant, the reference angle is 180 - 135 = 45 degrees.

tan(45) = 1

Since tan is negative in the 2nd quadrant, tan(135) = -1 and tan%5E2%28135%29+=+%28-1%29%5E2+=+1