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Implicit Differentiation

If cotx (cotx...

Question

{ If cotx }(\operatorname{cot}x-1)+1=0, then the value of cosec }^8x}{-2\operatorname{cosec}^6x+3\operatorname{cosec}^4x-2\operatorname{cosec}^2x+6 is

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cosec x - c o t x =

\frac{1}{3}

\neq

0, then the value of

c o s^{2} x - s i n^{2} x

∣ ∣ ∣ ∣ \begin{matrix} cosec α & 1 & 0 1 & 2 cosec α & 1 0 & 1 & 2 cosec α \end{matrix} ∣ ∣ ∣ ∣ = λ {cosec}^{3} α - μ cosec α,

then the value of

λ + μ

8^{x + 1} - 8^{x} - 8^{x - 1} = 880

, then the value of x is equal to

P = \int_{0}^{2} \frac{17 + 8 x - 4 x^{2}}{e^{6 (1 - x)} + 1} d x

, then find the value of [

\frac{21 P}{118}

a c o s x + c o t x + 1 = c o s e c x

then the possible values of x can be

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