CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1)...
02:52
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- Find the principal value of the following (i) cos^(-1) (cos 3) (ii) ...
02:03
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- Solve cos^(-1) (cos x) gt sin^(-1) (sin x), x in [0, 2pi]
01:36
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- Find tan^(-1) tan ((2pi)/3)
01:32
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- Find the number of solution of 2 tan^(-1) (tan x) = 6 - x
02:14
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- Write tan^(-1) x, x gt 0 in the form of other inverse trigonometric fu...
01:33
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- Find tan^(-1)x/(sqrt(a^2-x^2)) in terms of sin^(-1) where x in (0, a)d...
02:18
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- Prove that sin (cot^(-1) (tan (cos^(-1) x))) = x, x gt 0
03:13
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- If x<0, then prove that cos^(-1)x=pi-sin^(-1)sqrt(1-x^2)
03:02
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- Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2
03:34
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- Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a<x<adot
04:48
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- Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...
05:07
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- Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo
02:32
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- If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x
04:22
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- If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...
02:39
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- Find the value of sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot...
06:40
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- Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...
03:31
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- Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot
03:24
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- Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot
07:54
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- Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...
09:02
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