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\frac { \cot \theta \tan \left( 90 ^ { \circ } - \theta \right) - \sec \left( 90 ^ { \circ } - \theta \right) \csc \theta } { \sin \theta \cos \left( 90 ^ { \circ } - \theta \right) + \cos \theta \sin \left( 90 ^ { \circ } - \theta \right) } |
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Answer» tan(90-t) = cott sec(90-t) = cosect sin(90-t) = cost cos(90-t) = sint (cott*tan(90-t) - sec(90-t)*cosect)/(sint*cos(90-t) + cost*sin(90-t)) = (cott*cott - cosect*cosect) / (sint*sint + cost*cost) = 1/1 = 1 |
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