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Solve 7 cos^(2) theta+3 sin^(2) theta=4....

Solve `7 cos^(2) theta+3 sin^(2) theta=4`.

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To solve the equation \( 7 \cos^2 \theta + 3 \sin^2 \theta = 4 \), we can follow these steps: ### Step 1: Rewrite the equation using the Pythagorean identity We know that \( \cos^2 \theta = 1 - \sin^2 \theta \). We can substitute this into the equation: \[ 7 \cos^2 \theta + 3 \sin^2 \theta = 4 \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
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  2. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

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  3. Solve 7 cos^(2) theta+3 sin^(2) theta=4.

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  4. Solve (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 s...

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  5. Solve (log)(tanx)(2+4cos^2x)=2

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  6. Solve 4cot2theta=cot^2theta-tan^2theta

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  7. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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  8. Solve the equation sqrt3cos x + sin x = sqrt2 .

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  9. Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta.

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

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  13. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

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  14. If x , y in [0,2pi] , then find the total number of ordered pairs (x ,...

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  16. If 3sinx+4cosa x=7 has at least one solution, then find the possible v...

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  17. Solve cos^(50) x- sin^(50)x=1

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  18. Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

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  19. Solve 1 + sin x "sin"^(2) x/2=0.

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  20. Solve cos 4 theta+ sin 5 theta=2.

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