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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
- Find the values of sec^-1( 2/sqrt3)
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- Find the values of sec^-1(Sec((4pi)/3))
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- Find the values of cot (cosec^-1 (-1))
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- Show that 2 tan^-1 x = cosec^-1((1+x^2)/(2x)), 0 < |x| le 1
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- Solve the equation cosec^-1(x/8) + cosec ^-1 (x/15) = pi/2
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- Solve the equation sec^-1(x/a) - sec^-1(x/b) = sec^-1b - sec^-1 a ...
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- Prove that cot^-1 x = cosec^-1 sqrt(1+x^2) for x ge 0
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- Prove that tan(sec^-1 x) = sqrt(x^2 - 1) for x le 1
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- Prove that cosec^-1 x = cot^-1sqrt(x^2 -1) for x ge 1
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- Prove that cot(cosec^-1x) = sqrt(x^2 - 1) for x ge 1
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- Prove that : sec^2 (tan^(-1)2) + cosec^2 (cot^(-1) 3) = 15
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- Find the values of tan^2 (Sec^-1 2) + cot^2 (cosec^-1 3)
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- Write down the value of sin^-1{sin((7pi)/6)}
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- If sin^-1 x + sin^-1 y = - pi, then find the values of x and y
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- If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y
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- Find the value of cos^-1(cos(-pi/4))
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- What ist he domain of the functio nf(x) = sin^-1 x + sec^-1 x?
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- What is the domain of the function f(x) = cos^-1 x + sec^-1 x?
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- Find the range of the function f(x) = cos^-1 x + cosec^-1 x.
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- Write down the domain of the function f(x) = tan^-1 x + cot^-1 x.
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