Question

If cosec^2A=2 find 2sin^2A+cot^2A/4tan^2A-cos^2Ai

Answer 1

Answer:

4/7

Step-by-step explanation:

Cosec²A=2

∴ Cot²A = Cosec²A - 1 = 2-1 = 1

∴ Tan²A = 1/Cot²A = 1

∴ Sin²A = 1/Cosec²A = 1/2.

∴ Cos²A = 1 - Sin²A = 1 - 1/2 = 1/2

2sin²A+cot²A / 4tan²A-cos²A

= 2 * (1/2) + 1 / 4 (1) - (1/2)

= 1 + 1 / (7/2)

= 4/7.