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Prove that n( " cos " 4x + " cos " 3x...

Prove that n`( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x + " sin " 3x + " sin " 2x) = " cot 3x`

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Prove that ( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x + " sin " 3x + " sin " 2x) = " cot 3x

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Prove that ("sin " 5x -2 "sin " 3x + " sin "x)/(" cos " 5x - " cos " x) = " cosec " 2x -"cot " 2x

Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x *cos 2x *cos 3x .

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(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x

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(cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

MODERN PUBLICATION-TRIGONOMETRY-FREQUENTLY ASKED QUESTIONS
  1. Prove that sin 10^(@) " sin " 50^(@) " sin " 60^(@) " sin " 70^(@) ...

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  2. (sin 5x + sin 3x)/(cos 5x + cos 3x) = tan 4x

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  3. Prove that n( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x +...

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  4. (( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos...

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  5. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

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  6. If s intheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

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  7. If alpha+beta+90^0 , find the maximum and minimum values of s inalphas...

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  8. Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 c...

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  9. Find "sin" 2theta when "sin" theta+cos theta=1.

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  10. Prove that: "tan"A+cotA=2"cosec" 2A and deduce that "tan" 75^(@)+co...

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  11. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

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  12. If tan (alpha-beta)=(sin 2beta)(3-cos 2beta), then

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  13. Prove that: cos A cos 2A cos 2^(2)A cos 2^(3)A….....cos 2^(n-1)A=("sin...

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  14. If "sin"A=(1)/(2)(x+(1)/(x)),prove that: "sin" 3A+(1)/(2)(x^(3)+(1)...

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  15. Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(...

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  16. Prove that: cos 6x=32 cos^(6)x-48 cos^(4)x+18 cos^(4)x+18 cos^(2)x...

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  17. sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

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  18. Find the value of "tan" 22^(@) 30'.

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  19. Prove that:tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

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  20. If "sin" theta+"sin" phi=a and cos theta+cos phi=b find: (i) "sin"(...

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