Prove that : tan θ/(1 − cot θ) + cot θ/(1 − tan θ) = 1 + sec θ cosec θ
Prove that (cos A + sin A – 1)/(cos A – sin A + 1) = cosec A – cot A
Prove that : (1 + 1/tan² θ)(1 + 1/cot² θ) = 1/(sin² θ – sin⁴ θ)
Which of the following statements is false ?
The value of (1/sec²A + 1/cosec²A) is :
Find the values of A and B (0 ≤ A < 90°, 0 ≤ B < 90°), if tan (A + B) = 1 and tan (A – B) = 1/√3.
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