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If `x=sectheta-tantheta and y=cos e ctheta+cottheta,` then prove that `x y+1=y-xdot`

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If x=sectheta- tantheta"and " y=cosec theta +cottheta , then prove that xy+1=y-x .

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

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  3. If x=sectheta-tantheta and y=cos e ctheta+cottheta, then prove that x ...

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  4. If A >0,B >0 and A+B=pi/3, the maximum value of tanAtanB is

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  5. prove that cosA +cosB+cosC=1+r/R.

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  6. denote the positive solution of the equation 3+3costheta=2sin^2thetado...

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

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

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

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

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  11. 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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  12. If r1 =r2+r3+r, prove that the triangle is right angled.

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

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

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

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

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

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