Sign of Trigonometric Ratios in Different Quadrants
Statement 1: ...
Question
Statement 1: The value of cos−1(cos30) is 30−9π.
Statement 2:30−9π∈[0,π].
A
Both the statements are TRUE, and STATEMENT 2 is the correct explanation of STATEMENT 1
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B
Both the statements are TRUE, and STATEMENT 2 is NOT the correct explanation of STATEMENT 1
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C
STATEMENT 1 is TRUE and STATEMENT 2 is FALSE
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D
STATEMENT 1 is FALSE and STATEMENT 2 is TRUE
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Solution
The correct option is D STATEMENT 1 is FALSE and STATEMENT 2 is TRUE cos−1(cos30)=cos−1[cos(10π−30)]=10π−30(∵cos−1(cosx)=x,x∈[0,π])
Hence, statement 1 is False.