Evaluate : tan 25° tan 65° - cot 25° cot 65°.
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= tan 25° tan 65° - cot 25° cot 65°
= tan (90° - 65°) tan 65° - cot (90° - 65°) cot 65°
= cot 65° tan 65° - tan 65° cot 65°
= 1 - 1
= 0
Hence, the value of tan 25° tan 65° - cot 25° cot 65° = 0.
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In the figures given below, find AB :
(i)
(ii)
(iii)
In the given figure, ∠B = 90° and ∠ADB = x°. Find :
(i) sin ∠CAB
(ii) cos2 C° + sin2 C°
(iii) tan x° - cos x° + 3 sin x°
In △ ABC, ∠B = 90°, evaluate : cosec A cos C - sin A sec C.
