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Express each of the following in the s...

Express each of the following in the simplest form: `tan^(-1){sqrt((1-cosx)/(1+cosx))}`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(...

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  2. Evaluate each of the following: (i)sin^(-1)(sin(-600^o)) (ii)\ cos^(...

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  3. Express each of the following in the simplest form: tan^(-1){sqrt((1...

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  4. Express each of the following in the simplest form: tan^(-1){(cosx)/...

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  5. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

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  6. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  7. Prove that: tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-...

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  8. Prove that: cot^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  9. Write the following functions in the simplest form: (i)tan^(-1){x/(s...

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  10. Write the following functions in the simplest form: (i)sin^(-1){x/(s...

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  11. Prove that: tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}=pi/4...

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  12. Prove that tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(...

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  13. Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(3p...

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  14. Simplify: sin^(-1)(5/(13)cosx+(12)/(13)sinx)

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  15. Simplify: sin^(-1)((sinx+cosx)/(sqrt(2))) where - π/4 < x < π/4

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  16. Simplify: cos^(-1)((sinx+cosx)/(sqrt(2))),π/4 < x <(5π)/4

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  17. Simplify each of the following: sin^(-1)((sinx+cosx)/(sqrt(2))),\ pi...

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  18. Evaluate the following: sin^(-1)(sin10) (ii) sin^(-1)(sin5)

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  19. Evaluate the following: cos^(-1)(cos10) (ii) tan^(-1){tan(-6)}

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  20. Evaluate each of the following: sin^(-1)(sin(pi/6)) (ii) sin^(-1)(si...

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