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Prove that: cot^2frac (pi)(6)+cosecfrac ...

Prove that: `cot^2frac (pi)(6)+cosecfrac (5pi)(6)+3tan^2frac (pi)(6)=6`

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Prove that: sin^2frac (pi)(6)+cos^2frac (pi)(3)-tan^2frac (pi)(4)=-1/2

Prove that: 2sin^2frac (pi)(6)+cosec^2frac (7pi)(6)cos^2frac (pi)(3)=3/2

Prove that : sin^2 frac (pi)(6)+ cos^2 frac(pi)(3)- tan^2 frac(pi)(4)=-1/2 .

Prove that : 3 cos^2 frac (pi)(4)+ sec frac (2 pi)(3)+ 5 tan^2 frac (pi)(3) = 29/2 .

Prove that : 3 sin frac (pi)(6) sec frac (pi)(3)-4 sin frac (5pi)(6) cot frac(pi)(4)=1 .

Prove that : cos^2 frac (pi)(8)+ cos^2 frac (3 pi)(8)+ cos^2 frac (5 pi)(8) + cos^2 frac (7 pi)(8) =2 .

Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)(8)+sin^2 frac (7pi)(8)=2 .

Prove that: 2sin^2frac (3pi)(4)+2cos^2frac(pi)(4)+2sec^2frac (pi)(3)=10

Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+cos frac (5pi)(13)=0

Prove that : 16 cos frac (2pi)(15) cos frac (4pi)(15) cos frac (8pi)(15) cos frac (16pi)(15) =1.

JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Find the general solution of the following equations: cos 4 x = cos 2x

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  2. An athlete runs 4 times around a circular running a path to describe 1...

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  3. Prove that: cot^2frac (pi)(6)+cosecfrac (5pi)(6)+3tan^2frac (pi)(6)=6

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  4. In triangleABC, prove that cos(A+B)+cosC=0

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  5. In triangleABC, prove that cos((A+B)/(2))=sinC/2

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  6. Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x...

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  7. If tan alpha= (m)/(m+1) and tan beta=(1)/(2m+1), the find the value o...

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  8. If tan(alpha+theta)=ntan(alpha-theta), show that:(n+1)sin 2theta=(n-1)...

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

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

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

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

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

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

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

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

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

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

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

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

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