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SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
- Find the value of tan(cos^(-1)(4/5)+tan^(-1)(2/3)).
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- Show that sin^(-1)(1/sqrt(10))+cos^(-1)(2/sqrt5)=pi/4.
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- Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6
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- Solve: sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x.
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- Prove that: sec^2(tan^(-1)3)-cosec^2(cot^(-1)3)=0
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- Evaluate "cos"(2"cos"^(-1)x+"sin"^(-1)x) at x=1/(5), where 0le"cos"^(-...
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- Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...
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- Prove that: cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)
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- Prove that: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2...
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- Directions (Q. Nos. 16-25) Prove the following "cos"["tan"^(-1){"sin...
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- Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(...
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- Solve : tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x
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- Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).
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- Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3
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- Prove that cos^(-1)(x)+ cos^(-1){(x)/(2)+sqrt(3-3x^(2))/(2)}=(pi)/(3).
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- Prove that: cot^(-1)7+cot^(-1)18=cot^(-1)5.
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- Prove that: sin^(-1)(3/5)+sin^(-1)(8/17)=tan^(-1)(77/36).
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- Prove that sin^(-1)((4)/(5)) +sin^(-1)((5)/(13)) +sin^(-1)((16)/(65)...
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- Prove that "tan"^(-1)(1/4)+"tan"^(-1)(2/9)=1/2"tan"^(-1)(4/3).
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- Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...
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