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Find the value of the following: cos^(-1...

Find the value of the following: `cos^(-1)(cos((13pi)/6))`

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Find the principal value of each of the following: (i) cos^(-1)(sin((4pi)/3)) (ii) cos^(-1)(tan((3pi)/4))

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Value of cos^(-1) cos(13pi)/(6) is

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the value of 2\ sec^(-1)2+sin^(-1)(1/2) .

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  2. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

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  3. Find the value of the following: cos^(-1)(cos((13pi)/6))

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  4. 8. Find the principal value of tan^-1( tan (9pi)/8)

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  5. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

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  6. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

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  7. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to cot^...

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  8. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

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  9. Find the number of positive integral solution of the equation tan^(-1)...

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  10. If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a)1/2 (b) (sqrt(3))/2 (c) -1/2...

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  11. sin[cot^(-1){tan(cos^(-1)x)}]i se u q a lto x (b) sqrt(1-x^2) (c) 1...

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  12. The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (...

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  13. If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan((2pi)/3)),t h e...

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  14. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  15. If x<0,\ y<0 such that x y=1 , then tan^(-1)x+tan^(-1)y equals pi/2 (b...

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  16. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

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  17. If cos^(-1)x/3+cos^(-1)y/2=theta/2 , then 4x^2-12 x ycostheta/2+9y^2= ...

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  18. If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)...

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  19. Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) ...

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  20. tan^(-1)(1/(11))+tan^(-1)(2/(11)) is equal to (a) 0 (b) 1//2 (c) -1 (d...

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