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

The expression `3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)]` is equal to

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Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)] is equal to

Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+theta)}-2{sin^6(pi/2+theta)+sin^6(5pi-theta)}

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

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha) , where alpha=(pi)/(5) is equal to :

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 (a) 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(c0salpha) is equal to 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If sin theta+"cosec"theta=2, then the value of sin^(8)theta+"cosec"^(...

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  2. If the expression 4sin5alphacos3alphacos2alpha s expressed as the su...

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

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  4. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

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  5. The product cot123^0dotcot133^0dotcot137^0dotcot147^0, when simplified...

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  6. If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a.(k-1)/(k+1) ...

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  7. If alpha+beta+gamma=2pi, then tanalpha/2tanbeta/2+tangamma/2=tanalpha...

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  8. If A and C are two angles such that A+C=(3pi)/4 then (1+cotA)(1+cotC)=

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  9. (log)(t1)(4sin9^0cos9^0)w h e r e\ t1=4sin 63^0cos 63^0\ e q u a l s ...

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  10. l=((cot^2x.cos^2x)/(cot^2x-cos^2x))^2 and m=a^(log(sqrt(a))[2cos(y/2)]...

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  11. If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta)...

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  12. Let m=t a n3\ a n d\ n=s e c6,\ then which of the following statement...

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  13. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

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  14. If sce A=17/8 and cosec B=5/4, then sec(A+B) can have the value equal ...

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  15. It is known that sin beta= 4/5 and 0 lt beta lt pi, then the value of ...

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  16. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

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  17. Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B ...

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  18. If cos(A-B)=3/5 and tanA tanB=2, then a.cos A cosB=1/5 b. co...

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  19. If A+B=pi/3a n d\ cos A+cos B=1,\ t h e n- a.cos(A-B)=1//3 b. \ |cos ...

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  20. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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