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# cos(thita)[sin(thita)+root sin(square)((thita)+sin(square)(alpha)] always lies between the values (plus minus)root 1+sin(square)alpha

147 Points
10 years ago

Dear ravi

cosθ[sinθ + √{sin2θ +sin2α}]

[cosθ]sinθ + cosθ [√{sin2θ +sin2α}]

we know that     asinθ + bcosθ   lies between    - √{a2 +b2}  to  √{a2 +b2}

so  given expression lies between   -√{cos2θ + sin2θ +sin2α}  to √{cos2θ + sin2θ +sin2α}

or                                           -  √{1 +sin2α}   to    √{1 +sin2α}

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