Sin-cos e c -2-cos-2-tan 2- 2- for all values of - is equal to

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Integration by Substitution

sinα+cos e c ...

Question

$(s i n α + c o s e c α)^{2} + (c o s α + s e c α)^{2} - (t a n^{2} α + c o t^{2} α)$ for all values of $α$ is equal to

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Solution

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(sin α + cosec α)^{2} + (cos α + sec α)^{2} = k^{2} + {tan}^{2} α + {cot}^{2} α

k^{2} =

α

(s i n α + c o s e c α)^{2} + (c o s α + s e c α)^{2} - (t a n^{2} α + c o t^{2} α)

(sin α + c o s e c α)^{2} + (cos α + sec α)^{2} = k + {tan}^{2} α + {cot}^{2} α

(sin α + csc α)^{2} + (cos α + sec α)^{2} = {tan}^{2} α + {cot}^{2} α + 7

{(sin α + csc α)}^{2} + {(cos α + sec a)}^{2} - {tan}^{2} α - {cot}^{2} α =

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