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Find the values of theta which satisfy r...

Find the values of `theta` which satisfy `r sin theta=3` and `r=4 (1 + sin theta), 0 <= theta <= 2 pi`

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To solve the equations \( r \sin \theta = 3 \) and \( r = 4(1 + \sin \theta) \), we will eliminate \( r \) and find the values of \( \theta \) that satisfy both equations within the interval \( 0 \leq \theta \leq 2\pi \). ### Step 1: Substitute \( r \) from the second equation into the first equation We have: \[ r = 4(1 + \sin \theta) \] Substituting this into the first equation: ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Find general value of theta which satisfies both sin theta = -1//2 and...

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  2. Find the values of theta which satisfy r sin theta=3 and r=4 (1 + sin...

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  3. If sin A = sin B and cos A = cos B, find all the values of A in terms ...

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

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

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

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

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

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

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

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

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

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

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  14. Solve sin 2x=4 cos x.

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

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

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

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

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

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

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