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Multiple Choice Questions

The value of cosec2 670 sec2 570 ndash cot2 330 ndash tan2 230 is ........

Quantitative Aptitude (CDS) Trignometry

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The value of cosec² 67⁰ + sec² 57⁰ – cot² 33⁰ – tan² 23⁰ is

$2\sqrt{2}$

2

$\sqrt{2}$

0

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Explanation:

cosec²67^°+sec²57^°−cot²33^°−tan²23^°
=cosec²67^°−tan²(90^°−67^°)+sec²57^°−cot²(90^°−57^°)
=(cosec²67^°−cot²67^°)+(sec²57^°−tan²57^°)

=1+1=2

By: Munesh Kumari

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