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Statement-I : If f(theta)=(cot theta)/(1...

Statement-I : If `f(theta)=(cot theta)/(1+cot theta) and alpha+ beta=(5pi)/(4)` then `f(alpha) f(beta)=(1)/(2)`
Statement-II : If `alpha+ beta=(pi)/(2) and beta+ gamma= alpha` then `tan alpha= tan beta+ 2tan gamm`
Statement-III `sin^(2) alpha+ cos^(2) (alpha+ beta)+2 sin alpha beta cos (alpha+beta)` is independent of `alpha` only

A

Only, I, II are true

B

Only II, III true

C

Only III, I are true

D

I, II, III are true

Text Solution

Verified by Experts

The correct Answer is:
D
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