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Find an acute angle theta , when (costhe...

Find an acute angle `theta` , when `(costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3))`

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To solve the equation \(\frac{\cos \theta - \sin \theta}{\cos \theta + \sin \theta} = \frac{1 - \sqrt{3}}{1 + \sqrt{3}}\), we will follow these steps: ### Step 1: Cross-multiply the equation We start by cross-multiplying the fractions to eliminate the denominators: \[ (\cos \theta - \sin \theta)(1 + \sqrt{3}) = (1 - \sqrt{3})(\cos \theta + \sin \theta) \] ...
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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
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  2. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

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  3. Find an acute angle theta , when (costheta-sintheta)/(costheta+sinthet...

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  4. If sin(A+B)=1 and cos(A-B)=(sqrt(3))/2, then find A and B dot

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  5. Evaluate each of the following: cot 12^0cot 38^0cot52^0cot60^0cot78^0 ...

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  6. Prove that: tan10^0tan15^0tan75^0tan80^0=1 tan1^0tan2^0tan3^0tan89^0=...

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  7. If A+B=90^0, prove that sqrt((tanAtanB+tanAcotB)/(sinAsecB)-(sin^2B)/(...

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  8. If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find ...

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  9. If tantheta+1/(tantheta)=2 , find the value of tan^2theta+1/(tan^2thet...

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  10. Evaluate each of the following in the simplest form: cos e c30^0+cot45...

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  11. In a right triangle B C , right angled at B , the ratio of A BtoA C is...

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  12. In Figure, A D=D B \ and \ /B is a right angle. Determine. (a)\ sin th...

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  13. Find the value of x in each of the following: (i)tan3x=sin45^0cos45^...

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  14. If theta is an acute angle and tantheta+cottheta=2, find the value o...

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  15. Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

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  16. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  17. An equilateral triangle is inscribed in a circle of radius 6 cm. Find ...

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  18. If tanA=1 and tanB=sqrt(3),e v a l u a t ecosAcosB-sinAsinBdot

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  19. Find(sin18^0)/(cos72^0)+(sin22^0)/(cos68^0)-(cos38^0cos e c52^0)/(tan1...

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  20. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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