Question

Find the value:- 1) 5sin^2 30° + cos^2 45° - 4tan^2 30° by 2 sin 30° cos 30° tan 45°​

Answer 1

given

5sin²30⁰+cos²45⁰-4tan²30⁰

2sin30⁰cos30⁰+tan45⁰

5×(1/2)²+(1/√2)²-4×(1/√3)²

2×1/2×√3/2+1

5/4+1/2-4/3

√3/2+1

5/12

√3+2

2

5/12×2/√3+2= 5 Ans

6(√3+2)