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