The value of sin- - 2 - cos- - a 2 - tan 2 - - 2 - -

(sinα + cosα)^2 + (cosα + α)^2 tan^2 α ^2 α = sin^2 α + cos^2 α + 2 + cos^2 α + ^2 α + 2 tan^2 α ^2 α = 1 + 2 + 2 + 1 + 1 = 7 ...

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Sin(A+B)Sin(A-B)

The value of ...

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

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

(\frac{1 - sin α}{cos α} + \frac{cos α}{1 + sin α}) (sec α + \frac{1}{cot α})

sin (3 θ + α) + sin (3 θ - α) + sin (α - θ) - sin (α + θ) = cos α

{(cos α + cos β)}^{2} + {(sin α + sin β)}^{2} = λ {cos}^{2} \frac{(α - β)}{2}

λ

π < α - β < 3 π, sin α + sin β = \frac{- 21}{65},

cos α + cos β = \frac{- 27}{65}

cos (\frac{α - β}{2})

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