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Which of the following is/are a rational...

Which of the following is/are a rational number? `a. sin(tan^(-1)3+tan^(-1)(1/3))` `b. cos(pi/2-sin^(-1)(3/4))` `c. (log)_2("sin"1/4sin^(-1)(sqrt(63)/8)]` `d. tan(1/2cos^(-1)(sqrt(5)/3))`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  3. Which of the following is/are a rational number? a. sin(tan^(-1)3+tan...

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  10. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11x+3="0 , ...

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  11. If 2^(2pi//sin^(-1)x) - 2 (a + 2) 2^(pi//sin^(-1)x) + 8a lt 0 for at l...

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  13. 2tan^(-1)(-2) is equal to (a)-cos^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (...

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

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  17. Find the range of y = (cot^(-1) x) (cot^(-1) (-x))

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

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  19. If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...

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

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