JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1

a = \tan \,\,27\theta - \tan \,\,\theta

and

b = \frac{{\sin \,\,\theta }}{{\cos \,\,3\theta }} + \frac{{\sin \,\,3\theta }}{{\cos \,\,9\theta }} + \frac{{\sin \,\,9\theta }}{{\cos \,\,27\theta }}

, then

View answer and explanation

Correct option: B

a = 2b

Option B (

a = 2b

) is the correct answer because, after simplification and trigonometric manipulations, the expression for

a

can be shown to be twice the expression for

b

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