If (sino + tano ) = a and
(tano - sino) = b then, a? - b2 =
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Answer:
4sinθtanθ
Step-by-step explanation:
a=(sinθ+tanθ), b=(tanθ-sinθ)
a²-b²
=(sinθ+tanθ)²-(tanθ-sinθ)²
=(sin²θ+tan²θ+2sinθtanθ)-(sin²θ+tan²θ- 2sinθtanθ)
=sin²θ+tan²θ+2sinθtanθ-sin²θ-tan²θ+ 2sinθtanθ
=sin²θ-sin²θ+tan²θ-tan²θ+2sinθtanθ+ 2sinθtanθ
=4sinθtanθ
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