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NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 20
Total: 61
cos2
π
6
+cosec
5π
6
+3tan2
π
6
 = 6
Solution:  
L.H.S. = cos2
π
6
+cosec
5π
6
+3tan2
π
6
= (√3)2 + cosec (
6π−π
6
) + 3 (
1
√3
)2
= 3 + cosec (π−
π
6
) + 3 ×
1
3
 = 3 + cosec
π
6
 + 1 = 3 + 2 + 1 = 6 = R.H.S.
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