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Show that sin 3 x+sin 2 x-sin x=4 sin x ...

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

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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Prove that sin 2 x+2 sin 4 x+sin 6 x=4 cos ^(2) x sin 4 x

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

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

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

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  8. Hence write the value of cos 75^@.

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  9. If (sin (x+y))/(sin (x-y))=(a+b)/(a-b), show that a tan y=b tan x

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  10. Prove that cos 24^(circ)+cos 55^(circ)+cos 125^(circ)+cos 204^(circ)+...

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  11. Prove that sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=2 cos theta

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  12. Solve the following equations 2 tan theta-cot theta=-1

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  13. If A+B=45^(circ), prove that (cot A-1)(cot B-1) = 2

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  14. Show that (sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(s...

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  15. Prove that cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+c...

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

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  17. If an arc of length l of a circle of radius r subtends an angle theta ...

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  18. A cow is tied to a post with a rope of 20 m long .If it moves along a ...

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  19. Three points A, B, C are marked in the stem of a coconut trees so that...

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  20. Prove that sin ^(2) A cos ^(2) B+cos ^(2) A sin ^(2) B+cos ^(2) A cos ...

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