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Which of the following is incorrect? a. `sintheta=-1//5` b. `costheta=1` c. `s e ctheta=1//2` d. `t a ntheta=1`

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Prove the following identities: (cos e ctheta-cottheta)^2=(1-costheta)/(1+costheta)

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Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-costheta)=t a ntheta-sintheta

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Prove the following identities: (sintheta-sectheta)^2+(costheta-cos e ctheta)^2=(1-secthetacos e ctheta)^2

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

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  2. If t a ntheta=x-1/(4x) , then s e ctheta-t a ntheta is equal to (a) -2...

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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 tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi...

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

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  9. sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b. 1 c. 2 d. 3

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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. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

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

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  14. If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0)...

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

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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+1...

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

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  19. The value of cos1^@. cos2^@. cos 3^@....cos 179^@= a. 1/sqrt2, b.0, c....

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  20. The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. ...

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