Question:

If sin = 11/61, find the values of cos using trigonometric identity.

Answer:

Given sin = 11/61
Sin2+cos2 = 1 [Trigonometric identity]
(11/61)2+cos2 = 1
cos2 = 1-(11/61)2
= 1-121/3721
= (3721-121)/3721
= 3600/3721
Taking square root on both sides
cos = 60/61
Hence the value of cos = 60/61.

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