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Find the general solutions for each of the following equations `sec^2 2x=1-tan2x`

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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
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  2. Find the general solution of the following equations sin 2x+ cos x =...

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  3. Find the general solutions for each of the following equations sec^2 2...

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  4. Find the principal and general solution of the following equation sin ...

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  5. If sin x=(3)/(5), cos y=-(12)/(13), where 'x' and 'y' both lie in seco...

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  6. Prove that cos 2 x cos (x/2)-cos 3 x cos ((9x)/2)=sin 5 x sin ((5 x)/...

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  7. Find the value of tan (pi/8)

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  8. If tan x^(circ)=(3)/(4), piltxlt(3 pi)/(2), find the value of sin (x)...

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  9. Show that cos ^(2) x+cos ^(2)(x+(pi)/(3))+cos ^(2) (x-(pi)/(3))=(3)/(2...

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  10. Prove that 2cos(pi/13)cos((9pi)/13)+cos((3pi)/13)+cos((5pi)/13)=0

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  11. Prove that (sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0

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  12. Prove that (cosx+cosy)^2+(sinx-siny)^2=4cos^2((x+y)/2)

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  13. Prove that (cos x-cos y)^(2)+(sin x-sin y)^(2)=4 sin ^(2)((x-y)/(2))

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  14. Prove that sin 2 x+2 sin 4 x+sin 6 x=4 cos ^(2) x sin 4 x

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  15. Prove that ((sin 7 x+sin 5 x)+(sin 9 x+sin 3 x))/((cos 7 x+cos 5 x)+(c...

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  16. Show that sin 3 x+sin 2 x-sin x=4 sin x cos (x/2) cos ((3 x)/2)

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  17. Find sin(x/2) , cos(x/2) , and tan(x/2) if tanx=-4/3 and x is in the s...

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  18. Find sin(x/2) , cos(x/2) and tan(x/2) if cosx=(-1/3) and x lies in the...

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  19. Find sin(x/2), cos(x/2) and tan(x/2) if sinx=1/4 and x lies in the sec...

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  20. Prove that (sin x)/(1+cos x)=tan (x/2) Find the domain and range of f(...

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