Home
Class 12
MATHS
"If" (a cos theta sec phi - x)/(a sin (t...

`"If" (a cos theta sec phi - x)/(a sin (theta + phi)) = (y - b sin theta sec phi)/(b cos (theta + phi)) = tan phi, "show that," x^(2)/a^(2) + y^(2)/b^(2) = 1.`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)/a^(2) + y^(2)/b^(2) = 1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|23 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(theta+phi))=tanphi show that x^2/a^2+y^2/b^2=1

Prove that, "cosec" (theta + phi)=("cosec" theta "cosec" phi)/(cot theta + cot phi)

Prove that, cos^(2) (theta + phi) - sin^(2) (theta - phi) = cos 2 theta cos 2 phi

If 2 tan theta = cot phi, "show that" cos(theta - phi) = 3 cos ( theta + phi).

If x=r cos theta cos phi, y=r cos theta sin phi, z=r sin theta , then prove that x^(2)+y^(2)+z^(2)=r^(2).

If (a + b) tan (theta - phi) = (a-b) tan (theta + phi) " and " a cos 2 phi + b cos 2 theta = c, "show that" a^(2) -b^(2) + c^(2) = 2a cos 2 phi

Eliminate theta " and " phi sin theta + sin phi = a, cos theta + cos phi = b, 0 - phi = alpha

Eliminate theta " and " phi tan theta + tan phi = x, cot theta + cot phi = y, theta + phi = alpha

If x=a sec theta cosphi, y = b sec theta sin phi and z=c tan theta , then prove that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1.

If sin theta = k sin (theta + phi),"show that", tan(theta + phi) = (sin phi)/(cos phi -k).