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Solve 4costheta-3sectheta=tantheta...

Solve `4costheta-3sectheta=tantheta`

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To solve the equation \( 4 \cos \theta - 3 \sec \theta = \tan \theta \), we will follow these steps: ### Step 1: Rewrite the equation in terms of sine and cosine We know that \( \sec \theta = \frac{1}{\cos \theta} \) and \( \tan \theta = \frac{\sin \theta}{\cos \theta} \). Therefore, we can rewrite the equation as: \[ 4 \cos \theta - 3 \cdot \frac{1}{\cos \theta} = \frac{\sin \theta}{\cos \theta} \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

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  2. In A B C ,P is an interior point such that /P A B=10^0/P B A=20^0,/P ...

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  3. Solve 4costheta-3sectheta=tantheta

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  4. In A B C , if A B=c is fixed, and cosA+cosB+2cos C=2 then the locus o...

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  5. Solve the equation 2cos^2theta+3sintheta=0

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  6. In A B C , if b^2+c^2=2a^2, then value of (cotA)/(cotB+cotC) is 1/2 ...

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  7. Find the number of solution of [cosx]+|sinx|=1, x inpilt=xlt=3pi (whe...

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  8. If sinthetaa n d-costheta are the roots of the equation a x^2-b x-c=0 ...

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  9. If the equation asinx+cos2x=2a-7 possesses a solution, then find the ...

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  10. In A B C ,(a+b+c)(b+c-a)=k b c if k<0 (b) k >0 =<k<4 (d) k >4

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

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  12. If in A B C ,A=pi/7,B=(2pi)/7,C=(4pi)/7 then a^2+b^2+c^2 must be R^2 ...

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

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  14. In a triangle A B CifB C=1 and AC=2, then what is the maximum possible...

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

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  16. If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H...

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

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  18. If an a triangle A B C , b=3 c, a n d C-B=90^0, then find the value o...

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  19. The real roots of the equation cos^7x+sin^4x=1 in the interval (-pi,pi...

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  20. If the base angles of triangle are ((22)/(12))^@ and (112 1/2)^@ , th...

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