If f(θ)=tan(sin−13+cos2θ2), then

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{If } {f{{()}}}={{{({{}^{{-{1}}}{{{{{2}}}{{{3}+{{{2}}}}}}}})}}

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$If f (θ) = tan (sin^{- 1} \frac{2}{3 + cos 2 θ}), then$

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Practice questions from similar books

Question 1

Instead of the usual defination of derivatie Df(x), if we define a new kind of derivatie

D^{*} F (x)

by the formula

D^{*} (x) = h \to 0 lim \frac{f ^{2} ( x + h ) - f ^{2} ( x )}{h} . where f^{2} (x) means [f (x)]^{2}

and if f(x)=x log x, then

D^{*} f (x) ∣_{x = e}

has the value

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Question 2

x^{m} y^{n} = (x + y)^{m + n},

prove that

\frac{d y}{d x} = \frac{y}{x}

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Question 3

If f (x) ∣ ∣ x^{n} cos x sin x n! cos \frac{n π}{2} sin (\frac{n π}{2}) 248 ∣ ∣, then find the value

o f \frac{d ^{n}}{d x ^{n}} [f (x)]_{x = 0}

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Question 4

If x y = e^{(x - y)}, then find \frac{d y}{d x} .

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Question Text

If f (θ) = tan (sin^{- 1} \frac{2}{3 + cos 2 θ}), then

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If f(θ)=tan(sin−13+cos2θ2​​), then

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$If f (θ) = tan (sin^{- 1} \frac{2}{3 + cos 2 θ}), then$