What will be the value of cos x cosec x - sin x sec x ?
Answer & explanation
Correct answer: option 4
Given :-
cos x cosec x - sin x sec x
= \(\frac{cosx}{sinx}\) - \(\frac{sinx}{cosx}\)
= \(\frac{cos2x - sin2x}{sinx . cosx}\)
Multiply and divide by 2
= 2 × \(\frac{cos2x - sin2x}{2 .sinx . cosx}\)
= 2 × \(\frac{cos2x}{sin2x}\)
= 2 cot2x