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If x=acostheta-bsinthetaandy=asintheta+b...

If `x=acostheta-bsinthetaandy=asintheta+bcostheta`, then show that : `x^(2)+y^(2)=a^(2)+b^(2)`

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If acostheta+bsintheta=m and asintheta-bcostheta=n , then show that a^(2)+b^(2)=m^(2)+n^(2) .

i) If acostheta+bsintheta=m and asintheta-bcostheta=n , then prove that: a^(2)+b^(2)=m^(2)+n^(2)

If x=acostheta+bsintheta,y=asintheta-bcostheta , show : y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0 .

If x/acostheta+y/bsintheta=1,x/asintheta-y/bcostheta=1 , then eliminate theta .

If x=acosthetacostheta, y=acosthetasinthetaandz=asintheta , then the value of (x^(2)+y^(2)+z^(2)) is

If x=acostheta+bsinthetaandy=bcostheta-asintheta ,then x^(2)+y^(2) is equal to

If bx=ay then show that (x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2)

If x=asinthetaandy=acostheta then find the value of x^(2)+y^(2)

If acostheta-bsintheta=c , then prove that: asintheta+bcostheta=+-sqrt(a^(2)+b^(2)-c^(2))

If asintheta+bcostheta=c , find acostheta-bsintheta=?

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

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  2. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

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  3. Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

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  4. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  5. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

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  6. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

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  7. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

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  8. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

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  9. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

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  10. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2 "cosec...

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  11. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

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  12. यदि (coalpha)/(cosbeta)=n और (cosalpha)/(cosbeta)=m, है तो cos^(2)bet...

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  13. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

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  14. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

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  15. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

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  16. The value of (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta) is eq...

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  17. Eliminate alpha from x=asinalpha+bcosalphaandy=acosalpha-bsinalpha.

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  18. If 7("cosec "theta-1)=3cottheta,then prove that : 3("cosec " theta+1)=...

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  19. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

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  20. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

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