JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\tan \left( {\frac{{\alpha \,\pi }}{4}} \right) = \cot \left( {\frac{{\beta \,\pi }}{4}} \right)

, then

View answer and explanation

Correct option: D

\alpha + \beta = 2\left( {2n + 1} \right),\;\forall n

is an integer

Option D (

\alpha + \beta = 2\left( {2n + 1} \right),\\;\forall n

is an integer) is correct because by converting cotangent to tangent and solving the resulting trigonometric equation, we find that

\alpha + \beta

must be an even multiple of an odd number.

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