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If (sin alpha )/(a) = ( cos alpha )/(b) ...

If `(sin alpha )/(a) = ( cos alpha )/(b)` , then ` a sin 2alpha + b cos 2 alpha = `

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I : If (cos alpha )/(a)=(sin alpha )/(b) then a cos 2 alpha + b cos 2 alpha =a II : If (sin alpha )/(a) =(cos alpha )/(b) then a sin 2 alpha + b cos 2 alpha = a

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  1. If cos theta + sin theta= sqrt2 cos theta, then prove that cos theta- ...

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  2. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  3. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

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  4. Prove that cos 100^(@) cos 40^(@) + sin 100^(@). sin 40^(@) = (1)/(2)

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  5. Prove that 4(cos 66^(@) + sin 84^(@))= sqrt3+ sqrt15

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  6. Prove that cos 55^(@) + cos 65^(@) + cos 175^(@)= 0.

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  7. Find the value of cos 42^(@) + cos 78^(@) + cos 162^(@)

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  8. Find the value of sin 330^(@) .cos 120^(@) + cos 210^(@) . Sin 300^(@)...

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  9. Prove that sin 50^(@)- sin 70^(@) + sin 10^(@)= 0

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  10. Prove that (cos 9^(@) + sin9^(@))/(cos 9^(@) - sin + 9^(@)) = cot 36^(...

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  11. Prove that sin^(2) 42^(@)- cos^(2) 78^(@)= (sqrt5 + 1)/(8).

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  12. Find the period of f(x) = cos(3x+5)+7

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  13. Find the period of f(x)=cos ((4x+9)/(5))

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  14. Find the period of tan(x+4x+9x+.......+n^2x) (n any positive integer)

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  15. Find the sine function whose period is 2/3.

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  16. The minimum value of 7 cos x- 24 sin x +5 is

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  17. Find max. and min. of 3sinx + 4 cos x.

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  18. Find the range of 13cosx+3sqrt3 sin x-4

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  19. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  20. Sketch the graph of sinx in the intervals |-pi, pi]

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