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Solve sqrt(3)costheta-3sintheta=4sin2the...

Solve `sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot`

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costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]=?

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: sum(k=1)^(100)sin(k x)cos(101-k)x=50"sin"(101 x)

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  2. The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+al...

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  3. Solve sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot

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  4. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

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  5. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

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  6. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

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  7. In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector ...

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  8. Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : ...

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  9. C(10,2) = C(n,2).Find n.

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  10. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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  11. Let C be incircle of A B Cdot If the tangents of lengths t1,t2 and t3...

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  12. If cos(x-y),cosx and "cos"(x+y) are in H.P., then cosxsec(y/2) is

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  13. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

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  14. tan^6(pi/9)-33tan^4(pi/9)+27tan^2(pi/9) is equal to (a)0 (b) sqrt3 (...

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  15. If x, y in [0,2pi] then find the total number of order pair (x,y) sati...

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  16. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

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  17. If area of a triangle is 2 sq. units, then find the value of the pr...

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  18. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

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  19. Given that a , b , c , are the side of a A B C which is right angle...

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  20. In equilateral triangle ABC with interior point D, if the perpendicula...

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