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SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
- Find the principal value of :cos^(-1)(sqrt3/2).
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- Using the principal value, evaluate tan^ -1(1)+sin^(-1)(-1/2).
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- write the principal value of sin^(-1)[sin((3pi)/5)].
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- If "tan"^(-1)(sqrt(3))+"cot"^(-1)x=pi/(2), then find x.
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- Using the principal values, find the value of cos^(-1)cos((13pi)/(6)).
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- Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).
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- Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=...
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- 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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