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Show that sqrt(2+sqrt(2+sqrt(2+2cos 8)...

Show that
`sqrt(2+sqrt(2+sqrt(2+2cos 8)))=2cos theta`

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Show that: sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=2costheta,0

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Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1))) when the LHS contains n radical signs.

Show that : int_(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi .

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JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If tan(alpha+theta)=ntan(alpha-theta), show that:(n+1)sin 2theta=(n-1)...

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  2. Prove that:(1+sin2x-cos2x)/(1+sin2x+cos2x)=tanx

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  3. Show that sqrt(2+sqrt(2+sqrt(2+2cos 8)))=2cos theta

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  4. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

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  5. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

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  6. Prove the following: (cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)...

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  7. Show that:(sin11x sinx+sin7x sin3x)/(cos11x sinx + cos7x sin3x)=tan8x

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  8. Prove the following: sin2 x + 2 sin 4x + sin 6x = 4 cos^2 x sin 4x

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  9. Find the general solution for each of the following equations: 2cos^2x...

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  10. Find the general solution for each of the following equations: 4 sin^2...

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  11. Find the general solution of the following equations: sec^2 2x = 1- ta...

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  12. Find the general solution of the following trignometric equations: tan...

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  13. Find the general solution of the following trignometric equations: tan...

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  14. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

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  15. If sinx=3/5, cosy=-12/13, where x and y both lie in second quadrant, f...

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  16. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

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  17. Show that:sin^2 pi/8 + sin^2 (3pi)/8+sin^2 (5pi)/8+sin^2 (7pi)/8=2

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  18. Show that:[cos((3pi)/4)-cos((2pi)/3)]/[cos((3pi)/4)+cos((2pi)/3)]=3-2s...

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  19. Prove that:cosA.cos(pi/3-A).cos(pi/3+A)=1/4cos3A

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  20. Prove that:tan(x/2)=pmsqrt[(1-cosx)/(1+cosx)]

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