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If pi lt theta lt 2pi then sqrt ((1+cos ...

If `pi lt theta lt 2pi` then `sqrt ((1+cos theta)/(1-cos theta))=` a. `cosec theta+cot theta`, b. `cosec theta - cot theta`, c. `cot theta-cosec theta`, d. `-cosectheta - cot theta`

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To solve the problem, we need to simplify the expression \(\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}\) given that \(\pi < \theta < 2\pi\). ### Step-by-Step Solution: 1. **Start with the given expression:** \[ \sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}} \] ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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  2. If sectheta=x+1/(4x) , then s e ctheta-t a ntheta is equal to -2x ,1/(...

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  3. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a....

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  4. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

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  5. If sec theta= x+1/(4x) then sec theta+ tan theta= a, x, 1/(x), b. 2x, ...

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  6. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

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  7. If tan theta+sectheta=sqrt(3),\ 0<theta<pi, then theta is equal to (5p...

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  8. If t a ntheta=-1/(sqrt(5)) and theta lies in the IVB quadrant, then th...

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  9. Prove the followings : sin^6A+cos^6A+3sin^2A cos^2A= 1

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  10. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

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  11. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

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  12. Find the value of sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)...

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  13. If t a n A+cot A=4, then tan^4A+cot^4A is equal to a.110 b. 191 c. 80...

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  14. If xsin45^@cos^2 60^@=(tan^2 60^@cos e c 30^@)/(s e c 45^@cot^2 30^@),...

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  15. If cosectheta+cottheta=(11)/2 , then t a ntheta= (a)(21)/(22) (b) (...

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  16. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

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  17. If s e ctheta+t a ntheta=k ,\ costheta= a.(k^2+1)/(2k) b. (2k)/(k^2+...

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  18. Which of the following is incorrect? sintheta=-1//5 b. costheta=1 c. ...

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