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Evaluation of a Determinant

How to find t...

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How to find the derivative of : (1)cos²x (2)sin²x (3)cos^(n)x

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n \sum i = 1 {cos}^{- 1} θ_{1} = 0

, then find the value of

n \sum i = 1 i - θ_{i}

c o s e c ({tan}^{- 1} (cos ({cot}^{- 1} (sec ({sin}^{- 1} a))))) = \sqrt{p - a^{q}}

a ϵ [0, 1]

.
Find the value of

p + q

Q. The value of

sec [{sin}^{- 1} (- sin \frac{50 π}{9}) + {cos}^{- 1} cos (- \frac{31 π}{9})]

cos [{cos}^{- 1} cos [\frac{8 π}{7}] + {tan}^{- 1} tan [\frac{8 π}{7}]]

has the value equal to -

Q. The value of

{cos}^{- 1} (cos \frac{13 π}{6})

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