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Trigonometric Ratios of Allied Angles

The value of ...

Question

The value of $cosec θ + sec (270 ° - θ) - cosec (270 ° + θ) + sec (180 ° - θ)$ is

A

0

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B

1

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C

2 (sec θ + cosec θ)

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D

2 sec θ

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Solution

The correct option is A $0$
$cosec θ + sec (270 ° - θ) - cosec (270 ° + θ) + sec (180 ° - θ)$

$= cosec θ - cosec θ + sec θ - sec θ$

$= 0$

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Trigonometric Ratios of Allied Angles

Standard XIII Mathematics

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