Multiple and submultiple angles practice · Mixed difficulty

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

Showing 121-122 of 122 questions

121 Easy

121 of 122

Application +4 | -1

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

are in HP, then

\cos \,\,\mathrm{\theta }\,\,\sec \,\,\frac{\mathrm{\alpha }}{2}

is equal to

View answer and explanation

Correct option: A

\pm \,\sqrt 2

Option A (

\pm \\,\sqrt 2

) is correct because the expression simplifies to

\pm \\,\sqrt 2

when the given cosines are in Harmonic Progression.

122 Easy

122 of 122

Application +4 | -1

\cos \,\,2\alpha = \frac{{3\cos \,\,2\beta - 1}}{{3 - \cos \,\,2\beta }}

, then

\tan \alpha

is equal to

View answer and explanation

Correct option: A

\sqrt 2 \,\,\tan \,\,\beta

Option A (

\sqrt 2 \,\,\tan \,\,\beta

) is correct because by applying componendo and dividendo,

\tan \alpha

can be expressed in terms of

\tan \beta

Revision notes and key takeaways

Review MULTIPLE AND SUBMULTIPLE ANGLES in your textbook or class notes, then use this set to check your understanding.

Showing 121-122 of 122 questions

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