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Prove that: ((cosA+cos B)/(sinA-sinB))^n...

Prove that: `((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,`

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Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2) ,if n is even, 0 if n is odd,

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. denote the positive solution of the equation 3+3costheta=2sin^2thetado...

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  2. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

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  3. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

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  4. Prove that ("a c o s"A+b cosB+c cosC)/(a+b+c)=r/Rdot

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  5. Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-...

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  6. If a^2+b^2+2a bcostheta=1,c^2+d^2+2c dcostheta=1 and a c+b d+(a d+b c)...

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  7. If r1=r2+r3+r prove that the triangle is right angled .

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  8. Find the number of solution of theta in [0,2pi] satisfying the equati...

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  9. Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-bet...

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  10. Let A=sinx+cosxdot Then find the value of sin^4x+cos^4x in terms of Ad...

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  11. ABC is an acute angled triangle with circumcenter O and orthocentre H....

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  12. If sintheta=1/2a n dcostheta=-(sqrt(3))/2, then the general value of t...

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  13. In quadrilateral A B C D , if sin((A+B)/2)cos((A-B)/2)+"sin"((C+D)/2)c...

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  14. Find the range of y=sin^3x-6sin^2x+11sinx-6.

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  15. A ladder rest against a wall making an angle alpha with the horizontal...

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  16. Let ABC be an acute angled triangle whose orthocentre is at H. If a...

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  17. The most general value for which tantheta=-1 and costheta=1/(sqrt(2)) ...

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  18. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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  19. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  20. In a acute angled triangle ABC, proint D, E and F are the feet of the ...

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