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If the equation `sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2` has exactly two solutions for `lambda in [a , b]` , then the value of `a+b` is

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  2. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

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  3. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

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  4. Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...

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  7. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

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  8. If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...

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  9. Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...

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  10. Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo

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  17. 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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  19. If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...

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  20. If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e ntan(pi/4- u/...

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