2. If sino =11/61
find the values of cosec0 using trigonometric identity.
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sinθ=1161
, find the values of cosθ using trigonometric identity.
SOLUTION
We have,
sin2θ+cos2θ=1
⇒cos2θ=1−sin2θ
⇒cos2θ=1−(1161)2
⇒cos2θ=1−1213721=3721−1213721=36003721
⇒cosθ=(6061)2=6061
Thus, the value of cosθ is
6061
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