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If tan x = ( 2b )/( a-c) , ( a cancel(=)...

If `tan x = ( 2b )/( a-c) , ( a cancel(=)c)`
`y = a cos ^(2) x + 2b sin x cos x + c sin ^(2) x`
`z = a sin^(2) x -2b sin x cos x + c cos^(2) x`, then

A

y=z

B

`y+z=a+c`

C

`y-z=a-c`

D

`y-z= ( a-c)^(2) + 4b^(2)`

Text Solution

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The correct Answer is:
B, C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (3) ( MULTIPLE CHOICE QUESTIONS)
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  4. If x=sectheta-tantheta, and y=cosectheta+cottheta, then

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  5. If:x/a costheta+y/b s intheta=1a n dx/a s intheta-y/bcostheta=1, Prov...

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  6. If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then ...

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  7. If p sec theta - b tan theta =a and q sec theta +a tan theta =b, then

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  8. If a+b tan theta = sec theta and b - a tan theta = 3 sec theta, then ...

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  9. For 0 lt phi le ( pi )/( 2), if x = sum(n=0)^(oo) cos^(2n) phi , y = s...

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  11. If sin x + cos x = sqrt( 2) cos x , then cos x - sin x is equal to

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  12. If theta is an acute angle and sin"" ( theta )/( 2) = sqrt((x-1)/( 2x)...

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  13. If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is...

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  14. If sin A + sin 2A =x and cos A + cos 2A = y, then ( x^(2) + y^(2) ) ( ...

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  15. It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is...

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  16. If a sin^(2)x+b cos^(2)x=c, b sin^(2)y+a cos^(2)y=d and atan x=btany t...

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  18. If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3)...

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  19. If x sin theta = y sin ( theta + ( 2pi )/( 3)) = z sin( ( theta + 4pi ...

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  20. |{:(cos ( theta +A), sin ( theta +A),1),(cos ( theta +B),sin ( theta +...

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