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If sinA=1/2, show that 3 cos A - 4 cos^(...

If `sinA=1/2`, show that `3 cos A - 4 cos^(3) A= 0`

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KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Other Important Examples
  1. If cosecA = sqrt(10), find the other five trigonometric ratios.

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  2. If sin A=1/3evaluate cos A cosec A + tan A sec A

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  3. If sinA=1/2, show that 3 cos A - 4 cos^(3) A= 0

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  4. If sintheta=(a^(2)-b^(2))/(a^(2)+b^(2)), find the values of other fiv...

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  5. In the given figure , angle B = 90°, angleDCB = theta and AD = BD. Fi...

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  6. Evaluate each of the following : sin30^(@)cos45^(@)+cos30^(@)sin45^(...

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  7. Evaluate each of the following : tan30^(@)sec45^(@)+tan60^(@)sec30^(...

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  8. Evaluate each of the following : tan60^(@)cosec^(2)45^(@)+sec^(2)60^...

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  9. Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^...

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

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

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

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

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

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

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

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

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

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

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

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