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Show tha: cos6A=32cos^6A-48cos^4A+18cos^...

Show tha:
`cos6A=32cos^6A-48cos^4A+18cos^2A-1`

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  • TRIGNOMETRIC FUNCTIONS

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Show tha: cos4A=1-8cos^2A+8cos^4A .

Prove the following: cos 6x = 32 cos^6 x -48cos^4 x + 18 cos^2 x - 1

If sin A + sin^2 A + sin^3 A = 1 , then find the value of cos^6 A-4 cos^4 A + 8 cos^2 A .

Prove that : cos A cos 2A cos 2^2 A cos 2^3 A........ cos 2^(n-1) A= (sin 2^n A)/(2^n sinA) .

Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin 3A -sin 2A sin 5A + sin 4A sin 7A)= cot 6A cot 5A .

Prove that cos A cos 2A cos 4A cos 8A= (sin 16A)/(16 sin A) .

If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4theta+8cos^2theta=4

Show That 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0

If A + B + C =pi , prove that : cos 4A + cos 4B + cos 4C =-1+4 cos 2A cos 2B cos 2C .

Prove that : cos (A + B) cos (A - B) = cos^2A-1+ cos^2B .

JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Prove that:(sin2x)/(1+cos2x)=tanx

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  2. Show tha: cos4A=1-8cos^2A+8cos^4A.

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  3. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

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  4. Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

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  5. Prove the following:sin(150^@+x)+sin(150^@-x)=cosx

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  6. Prove that sin51^(@)+cos81^(@)=cos21^(@) .

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  7. Show that: sn10^@+sin20^@+sin40^@+sin50^@=sin70^@+sin80^@

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  8. Find the principal solutions (0 le x le 2pi) of the following euqtions...

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  9. Find the principal solutions (0 le x le 2pi) of the following euqtions...

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  10. Find the principal and general solutions of the following equation:- t...

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  11. Find the principal and general solutions of the following equation:- s...

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  12. Find the general solution of the following equations: cos 4 x = cos 2x

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  13. Find the general solutions of the equations sinx+sin3x+sin5x=0.

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  14. Find the general solution of the following equations: cos 4 x = cos 2x

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

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

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

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

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

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

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