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Solve the equation sin^3x.cos3x+cos^3x.s...

Solve the equation `sin^3x.cos3x+cos^3x.sin3x+3/8=0`

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To solve the equation \( \sin^3 x \cos 3x + \cos^3 x \sin 3x + \frac{3}{8} = 0 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \sin^3 x \cos 3x + \cos^3 x \sin 3x + \frac{3}{8} = 0 \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If y=(1+t a n A)(1-t a n B), where A-B=pi/4, then (y+1)^(y+1) is eq...

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  2. If cos(x+pi/3)+cos x=a has real solutions, then (a) number of inte...

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  3. Solve the equation sin^3x.cos3x+cos^3x.sin3x+3/8=0

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  4. If cos28^0+sin28^0=k^3, t h e ncos17^0 is equal to (a)(k^3)/(sqrt(2)...

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  5. Solve the following system of simultaneous equation for xa n dydot ...

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  6. If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is e...

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  7. For the equation 1-2x-x^2=tan^2(x+y)+cot^2(x+y) (a)exactly one valu...

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  8. If tan^2((pi-A)/4)+tan^2((pi-B)/4)+tan^2((pi-C)/4)=1 , then A B C is ...

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  9. For the smallest positive values of x \and\ y , the equation 2(sinx+si...

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  10. The minimum vertical distance between the graphs of y=2+sinx and y=cos...

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  11. Find all solution of the equation. sinx+sin(π/8)sqrt((1−cosx)^2+sin^2x...

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  12. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

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  13. Solve tan(picostheta)=cot(pisintheta) then the value of sin(π/4+θ)

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  14. The value of sum(r=0)^(10)cos^3((rpi)/3) is equal to (a)1/4 (b) 1/...

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  15. Solve the equation sin^4x+cos^4x-2sin^2x+(3sin^2 2x)/4=0

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  16. sin^2(A/2)+sin^2(B/2)-sin^2(C/2)=1-2cos(A/2)cos(B/2)sin(C/2)

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  17. solve sin(2x)+sin(x)=0?

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  18. In any triangle ABC, prove that sin^3Acos(B-C)+sin^3Bcos(C-A)+sin^3Cco...

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  19. Find the smallest positive root of the equation sqrt(sin(1-x))=sqrt(co...

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  20. cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0= (a)1(b) 2 (c)3 (d) ...

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