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Question

# Assertion :cosec−1(3/2)+cos−1(2/3)−2cot−1(1/7)−cot−17 is equal to cot−17 Reason: sin−1x+cos−1x=π/2,tan−1x+cot−1x=π/2,cosec−1x=sin−1(1/x), cot−1(1/x)=tan−1(x),cot−1(x)=tan−1(1/x)

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

## The correct option is D Assertion is incorrect but Reason is correctReason is trueAssertion:cosec−132+cos−123−2cot−117−cot−17=sin−123+cos−123−(tan−17+cot−17)−cot−117=π2−π2−cot−117=−tan−17Hence, assertion is wrong

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