Question

evaluate sin^2 30 cos^2 45+4 tan ^230+1/2 sin^290-2cos^290+1/24​

Answer 1

Answer:

sin^2 30° cos^2 45° + 4 tan^2 30° + 1/2 sin^2 90° - 2 cos^2 90° + 1/24

= (1/2)^2(1/√2)^2 + 4 (1/√3)^2 + 1/2 (1)^2- 2 (0)^2 +1/24

= (1/4)(1/2) + 4(1/3) + 1/2 -0 +1/24

= 1/8 +4/3 + 1/2 +1/24

= (3+32+12+1)/24

= 48/24

= 2