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Directions (Q. Nos. 16-25) Prove the fol...

Directions (Q. Nos. 16-25) Prove the following
`"cos"(2"tan"^(-1)1/(7))="sin"(4"tan"^(-1)1/(3))`.

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Directions (Q. Nos. 16-25) Prove the following 2"tan"^(_1)1/(2)+"tan"^(-1)1/(7)="sin"^(-1)(31/(25sqrt(2))) .

Directions (Q. Nos. 16-25) Prove the following "cos"["tan"^(-1){"sin"("cot"^(-1)x)}]=sqrt((x^(2)+1)/(x^(2)+2)) .

Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"cos"^(-1)(3/(5))="tan"^(-1)(63/(16)) .

Directions (Q. Nos. 16-25) Prove the following "cos"["sin"^(-1)(3/(5))+"cot"^(-1)(3/(2))]=6/(5sqrt(13)) .

Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(4)) .

Directions (Q. Nos. 16-25) Prove the following "cos"^(-1)x="tan"^(-1)[(sqrt(1-x^(2)))/(x)] .

Directions (Q. Nos. 27 and 28) Solve the following equations: "tan"^(-1)x/(2)+"tan"^(-1)x/(3)=pi/(4),sqrt(6)gtxgt0

Prove the following statements "cos"" (tan"^(-1)"(cot"" (sin"^(-1)x)))=x

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ARIHANT PUBLICATION-SAMPLE PAPER 5-Short answer type question
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