If sin- - cosec -2 - cos- - -2 - k - tan2 - - 2 - then k -

L.H.S = sin^2 α + cosec^2 α + 2 + cos^2 α + ^2 α + 2 = 7 + ^2 α + tan^2 α , ∴ k = 7. ...

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Basic Trigonometric Identities

If sinα + cos...

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

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(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

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

sin α + cos α = k

| sin α - cos α |

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

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