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let f:[-pi/3,pi/6]rarr B defined by f(x)...

let `f:[-pi/3,pi/6]rarr B` defined by `f(x)=2cos^2x+sqrt3sin2x+1`. Find B such that `f^-1` exists. Also find `f^-1`

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The correct Answer is:
`B=[0,4];f^(-1)(x)=1/2(sin^(-1)((x-2)/2)-(pi)/6)`
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RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
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  2. Solve the following inequality: cot^(-1)xlt -sqrt(3)

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  3. let f:[-pi/3,pi/6]rarr B defined by f(x)=2cos^2x+sqrt3sin2x+1. Find B ...

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  4. Evaluate the following inverse trigonometric expression: sin^(-1)("s...

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  5. Evaluate the following inverse trigonometric expression: tan^(-1)("t...

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  6. Evaluate the following inverse trigonometric expression: cos^(-1)("c...

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  7. Evaluate the following inverse trigonometric expression: sec^(-1)("s...

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  8. Find the value of the following inverse trigonometric expression: si...

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  9. Find the value of the following inverse trigonometric expression: co...

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  10. Find the value of the following inverse trigonometric expression: ta...

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  11. Find the value of the following inverse trigonometric expression: co...

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  12. Find the value of the following inverse trigonometric expression: co...

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  13. Find the value of the following expression: cot(tan^(-1)a+cot^(-1)a)

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  14. Find the value of the following expression: sin(sin^(-1)x+cos^(-1)x)...

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  15. Solve the inequality tan^(-1)xgtcot^(-1)cot^(-1)x.

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  16. Evaluate the following expression: sin("cos"^(-1)3/5)

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  17. Evaluate the following expression: tan("cos"^(-1)1/3)

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  18. Evaluate the following expression: cosec"(sec"^(-1)(sqrt(41))/4)

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  19. Evaluate the following expression: tan("cosec"^(-1)65/63)

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  20. Evaluate the following expression: sin((pi)/6+"cos"^(-1)1/4)

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