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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...
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- Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...
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- Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot
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- If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x
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- If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...
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- Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...
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- Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo
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- Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2
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- Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a
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- Prove that: cos e c(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(...
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- If x lt 0, then prove that cos^(-1) x = pi - sin^(-1) sqrt(1 - x^(2))
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- If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal t...
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- If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^...
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- If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...
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- Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2...
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- If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...
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- If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e ntan(pi/4- u/...
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- If the equation x^3+b x^2+c x+1=0,(bltc), has only one real root alpha...
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- The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to
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- Which of the following is the solution set of the equation 2cos^(-1)x=...
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