Question

Cot2 30°-2cos2 30°-3/4 sec2 45°+1/4cosec2 30°

Answer 1

Evaluate: cot2 30 - 2 cos2 30 - 3/4 sec2 45 + 1/4 cosec2 30

On substituting the values of various T-ratios, we get:

cot2 30 - 2 cos2 30 - 3/4 sec2 45 + 1/4 cosec2 30

(√3)^2-2×(√3/2)^2-3/4×(√2)^2+1/4×2^2

3-2×3/4-3/4×2+1/4×4

3-3/2-3/2+1

4-(3/2+3/2)

4-3 = 1

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