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CBSE Class 12-science Answered

If sin-1x + sin-1y = θ, prove that x2 + y2 + 2xy cos θ = sin2 θ
Asked by akangsha746 | 17 Sep, 2018, 06:31: AM
answered-by-expert Expert Answer
begin mathsize 18px style sin to the power of negative 1 end exponent straight x space plus space sin to the power of negative 1 end exponent straight y space equals space straight theta
sin to the power of negative 1 end exponent open parentheses straight x square root of 1 minus straight y squared end root plus straight y square root of 1 minus straight x squared end root close parentheses equals straight theta
apply space sin space on space both space sides
straight x square root of 1 minus straight y squared end root plus straight y square root of 1 minus straight x squared end root equals sin space straight theta
square end style
Answered by Arun | 03 Oct, 2018, 12:46: PM
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