JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

1 Easy

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Application +4 | -1

\cos \,\,\left( {\theta - \alpha } \right),\,\,\cos \,\,\theta ,\,\,\cos \,\,\left( {\theta + \alpha } \right)

are in H.P., then

\cos \,\,\theta \,\,\sec \,\,\left( {\frac{\alpha }{2}} \right)

is equal to

View answer and explanation

Correct option: B

\pm \;\,\sqrt 2

Option B (

\pm \;\,\sqrt 2

) is correct because by using the harmonic progression property and trigonometric identities, the expression

\cos \,\theta \,\,\sec \,\left( {\frac{\alpha }{2}} \right)

simplifies to

\pm \;\,\sqrt 2

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