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find the number of solution of `sin^(2) x-sin x-1=0` in `[-2pi, 2pi]`.

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To solve the equation \( \sin^2 x - \sin x - 1 = 0 \) in the interval \([-2\pi, 2\pi]\), we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \sin^2 x - \sin x - 1 = 0 \] This is a quadratic equation in terms of \( \sin x \). ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. If sin A = sin B and cos A = cos B, find all the values of A in terms ...

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  2. Find the number of roots of the equation 16sec^3theta-12tan^2theta-4se...

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  3. find the number of solution of sin^(2) x-sin x-1=0 in [-2pi, 2pi].

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  4. If x in (0,2pi)a n dy in (0,2pi) , then find the number of distinct or...

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  5. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

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  6. Solve: 16^sin^(2x)16^cos^(2x)=10 ,0lt=x<2pi

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  7. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

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  8. Find the number of solution of [cosx]+|sinx=1inpilt=xlt=3pi where [ ]...

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  9. If the the equation a sin x + cos 2x=2a-7 possesses a solution, then f...

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  10. find all the possible triplets (a(1), a(2), a(3)) such that a(1)+a(2) ...

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  11. Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + co...

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  12. Solve sin 2x=4 cos x.

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  13. Solve (tan 3x - tan 2x)/(1+tan 3x tan 2x)=1.

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  14. Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=...

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  15. Solve tan x+tan 2x+tan 3x = tan x tan 2x tan 3x, x in [0, pi].

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  16. Solve 2 cos^(2) theta +3 sin theta=0.

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  17. Solve 4 cos theta-3 sec theta=tan theta.

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  18. Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

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  19. Solve sqrt(5-2 sin x)=6 sin x-1

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  20. Solve (sin^3x/2-cos^3x/2)/(2+sinx)=(cosx)/3

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