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If x=rsinthetacosvarphi , y=rsinthetasin...

If `x=rsinthetacosvarphi` , `y=rsinthetasinvarphi` and `z=rcostheta` , then (a)`x^2+y^2+z^2=r^2` (b) `x^2+y^2-z^2=r^2` (c) `x^2-y^2+z^2=r^2` (d) `z^2+y^2-x^2=r^2`

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

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  2. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to (a)2tanth...

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  3. (cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equ...

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  4. If x=acostheta and y=bsintheta , then b^2x^2+a^2y^2= (a)a^2b^2 (b) ...

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  5. If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a)a b (b) a^2...

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  6. (cottheta)/(cottheta-cot3theta) + tantheta/(tantheta-tan3theta) is equ...

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  7. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

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  8. If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (...

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  9. If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , t...

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  10. The value of sin^2 29o+sin^2 61o is (a) 1 (b) 0 (c) 2sin^2 29o (d) ...

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  11. If x=rsinthetacosvarphi , y=rsinthetasinvarphi and z=rcostheta , then ...

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  12. If sintheta+sin^2theta=1 , then cos^2theta+cos^4theta= (a)-1 (b) 1 ...

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  13. If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (...

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  14. If cosA+cos^2A=1 , then sin^2A+sin^4A= (a)-1 (b) 0 (c) 1 (d) None...

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  15. If x=asecthetacosvarphi , y=bsecthetasinvarphi and z=ctantheta , then ...

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  16. If acostheta-bsintheta=c , then asintheta+bcostheta= (a)+-sqrt(a^2+b^...

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  17. 9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

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  18. (1+tanθ+secθ)( 1+cotθ−cosec θ )=   (a) 0               (b) 2        ...

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  19. ( secA+tanA )( 1−sinA )= (a)secA (b) sinA (c) cosec A (d...

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  20. (1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A

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