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The expression 3{sin^4((3pi/2)-alpha)+si...

The expression `3{sin^4((3pi/2)-alpha)+sin^4(3pi-alpha)} -2{sin^6(pi/2+alpha)+sin^6(5pi-alpha)}` is equal to

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Show that 3{sin^4((3pi)/2-alpha)+sin^4(3pi+alpha)}-2{sin^6(pi/2+alpha)+ sin^6(5pi-alpha)}=1

Prove that, 3[sin^(4)((3pi)/2 - alpha) + sin^(4)(3pi + alpha)] - 2[sin^(6)((pi)/2 + alpha) + sin^(6) (5pi - alpha)] = 1

sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha) is equal to

If alpha in (0,pi/2) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)-cos^(-1)(cosalpha) is equal to (a) 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

If 0 lt alpha lt pi/2 , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alpha

If cos3theta=cos3alpha, then the value of sintheta can be given by +-sinalpha (b) sin(pi/3+-alpha) sin((2pi)/3+alpha) (d) sin((2pi)/3-alpha)

Simplify: (cos(2pi + alpha)"cosec" (pi - alpha) tan (pi/2 + alpha))/("sec" (pi/2 + alpha) sin ((3pi)/2 - alpha) cot (2pi - alpha))

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Two parallel chords of a circle of radius 2 are at a distance. sqrt3+1...

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  2. Prove that: sum(k=1)^(100)sin(k x)cos(101-k)x=50"sin"(101 x)

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  3. The expression 3{sin^4((3pi/2)-alpha)+sin^4(3pi-alpha)} -2{sin^6(pi/2+...

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

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

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  6. If alpha,beta,gamma, in (0,pi/2) , then prove that (sin(alpha+beta+gam...

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

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

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

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

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

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

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  13. if cos(x-y)cosx and cos(x+y) are in H.P then evaluate abs (cos x.secy/...

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

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  15. tan^6(pi/9)-33tan^4(pi/9)+27tan^2(pi/9) is equal to

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

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

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

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

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

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