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If tan x= (2b)/(a-c), a!=c, y = a cos^2 ...

If `tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, z = a sin^2 x-2b sin x*cos x + c cos^2x,` 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
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
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  2. If sin A sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+...

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  3. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

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  4. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

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  5. If x= cos 10^(@)cos 20^(@) cos 40^(@), then the value of x is

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  6. If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) the...

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  7. cos(pi/7)cos((2pi)/7)cos((4pi)/7)=

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  8. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

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  9. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

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  10. If |tanA|lt1and |A|is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt...

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  11. If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

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  12. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

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  13. Maximum value of sin^4 theta + cos^4 theta is

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  14. Let B =2 sin ^(2) x - cos 2x, then

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  15. If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi, then sin theta ...

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  16. If sin 2A =sin 3A and 0 le A le 90^(@), then A is equal to

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  17. Solve that following equations : "tantheta"+"tan"(theta+pi/3)+"tan"(t...

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  18. If sin theta =-4/5 and theta lies in third quadrant, then the valu...

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  19. If sec theta =1 (1)/(4), then tan ""(theta)/(2)=

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  20. For for A=133^(@),2cos""A/2is equal to

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