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if costheta1+costheta2+costheta3=3then s...

if `costheta_1+costheta_2+costheta_3=3`then `sin^2theta_1+sin^4theta_2+sin^6theta_3=`

A

3

B

(-3)

C

0

D

none of these

Text Solution

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The correct Answer is:
C
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

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  2. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

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  3. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

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  4. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

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  5. If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x...

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  6. 4sin^2x +4cos^2xgek then k is

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  7. If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

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  8. If x+1/x=2costheta then x^3+1/x^3=

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  9. If A=sin^2theta+cos^4theta then for all real values of theta

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  10. If sin A,cosA and tan A are in G.P. then cot^6A-cot^2A is equal to

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  11. The sign of the product (sin2)(sin3)(sin 5) is

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  12. No.of solution in the equation x=4 sinx when x in [0,2pi]

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  13. The value of sin 10^@+sin 20^@+sin30^@+…..+sin360^@ is equal to

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  14. if sin^4alphacos^2alpha=underset(k=0)overset3sum ckcos2kalpha then c1+...

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  15. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

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  16. For +ve integer n, letfn(theta)=tan(theta/2)(1+sectheta)(1+sec2theta)(...

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  17. If x=secphi-tanphi and y=cosecphi+cotphi, then

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  18. If sectheta+tantheta=1 then one root of equation a(b-c)x^2+b(c-a)x+c(a...

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  19. if cosx+secx=(-2) then for a positive integer n cos^nx+sec^nx is

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  20. sec^2theta=4xy/(x+y)^2 is true if and only if

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