Question

If x cosec theta = a and y cot theta =b, prove that a²/x² - b²/y² = 1

Answer 1

Answer:

x = a sin theta : y = b tan theta  ....(Given)

L.H.S. = a²/x² - b²/y² = a²/(a sin theta)² - b²/(b tan theta)²

a² and b² are cancelled and then we get  

1/sin² theta - 1/sin² theta/cos² theta ...[∴ tan theta = sin theta/cos theta]

1/sin² theta - cos² theta/sin² theta

= (1-cos² theta)/sin² theta  ....[∴ sin² theta + cos² theta = 1]

sin² theta/sin² theta = 1

= R.H.S

⇒ a²/x² - b²/y²

Hence proved.

Step-by-step explanation:

37758fb27c67312bae1492da9f748997.pptx

Answer 2

Answer:

Hence proved

Step-by-step explanation: