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Find the value of x in the following equ...

Find the value of x in the following equation `sin 2x = sin 60° cos 30° - cos 60° sin 30°`

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The correct Answer is:
`x=15^(@)`
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KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Other Important Examples
  1. Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^...

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  2. Show that 2(cos^(4)60^(@)+sin^(4)30^(@))-(tan^(2)60^(@)+cot^(2)45^(@...

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  3. Find the value of x in the following equation sin 2x = sin 60° cos 30°...

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  4. If theta is an acute angle and tan theta + cot theta = 2 , find the va...

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  5. Given that sin (A+ B) = sin A cos B + cos A sin B , find the value o...

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  6. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

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  7. Evaluate the following : (2tan53^(@))/(cot37^(@))-(cot80^(@))/(tan10...

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  8. Express sin 72° + cot 72° in terms trigonometric ratios of angles betw...

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  9. Evaluate: ((sin47^(@))/(cos43^(@)))^(2)+((cos43^(@))/(sin47^(@)))^(2)-...

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  10. If sec 5A = cosec (A + 36°) , where 5A is an acute angle, find the va...

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  11. Prove the following : (All angles are acute angles.) sqrt(sec^(2)the...

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  12. Prove the following : (All angles are acute angles.) (1+tan^(2)theta...

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  13. Prove the following : (All angles are acute angles.) (tantheta+sinth...

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  14. Prove the following : (All angles are acute angles.) (sintheta+costh...

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  15. Prove the following : (All angles are acute angles.) tantheta-cotthe...

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  16. If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)thet...

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  17. If cos theta + sin theta = p and sec theta + cosec theta = q , prove t...

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  18. If costheta + sin theta = sqrt2 cos theta, prove that cos theta - sin ...

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  19. Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4...

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  20. If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta...

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