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Prove that : tan θ/(1 − cot θ) + cot θ/(1 − tan θ) = 1 + sec θ cosec θ
Which of the following statements is false ?
Find the values of A and B (0 ≤ A < 90°, 0 ≤ B < 90°), if tan (A + B) = 1 and tan (A – B) = 1/√3.
Prove that tan 45° = 1 geometrically.
Evaluate : sin² 45°/(cosec² 30° – tan² 45°)
Prove the following trigonometric identity : (cos A – 2 cos³ A)/(2 sin³ A – sin A) = cot A
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