Question

if Cot^-1 ( - 1/5 ) = ¢ , find the value of sin teta .

Answer 1

Given : Cot ^ -1 ( -1/5 ) = theta , where theta € ( 0,π ).


Therefore,

Cot theta = -1/5


Sin theta > 0 in ( 0 , π ).

Sin theta = 1/ Cosec theta


Sin theta = 1 / ✓ 1 + Cot² theta



Sin theta = 1 / √1 + 1/25 = 5 / √26.

Answer 2

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