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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
- 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))
01:22
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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.
01:56
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- Write down the domain of the function f(x) = tan^-1 x + cot^-1 x.
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- Find the range of the function sec^-1 x + cosec^-1 x, |x| ge 1.
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- If cosec^-1 x = sin^-1 (1/x) for all x in S, then find the set S.
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- If sec(1/x) = cos^-1 x for all x in A, then find the set A.
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- Find the value of sin^-1 (cos(sin^-1x)) + cos^-1 (sin (cos^-1 x))
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- If cot^-1 x = tan^-1(1/x) for all x in S, then find the set S.
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- Find the value of tan (sec^-1(-1))
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- Write down the value of sec (cosec^-1 x), where |x| > 1
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- If |x| ge 1, then sin^-1((2x)/(1+x^2)) = 2 k. Write down the value of ...
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- Compute cos(2 sin^-1(-1/3))
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