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Trigonometric Ratio and Identites question

2022 · 28 Jun · Shift 2 · Q40

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2022 · 28 Jun · Shift 2 · Q40

Trigonometric Ratio and Identites question

2022 · 28 Jun · Shift 2 · Q40

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If cot

\alpha

= 1 and sec

\beta

=

- {5 \over 3}

, where

\pi \lt \alpha \lt {{3\pi } \over 2}

and

{\pi \over 2} \lt \beta \lt \pi

, then the value of

\tan (\alpha + \beta )

and the quadrant in which

\alpha

+

\beta

lies, respectively are :

A
$- {1 \over 7}$ and IVth quadrant
B
7 and Ist quadrant
C
$-$ 7 and IVth quadrant
D
${1 \over 7}$ and Ist quadrant

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