6. If x = a cos 0, y = b sin 0, then show that x²/a²+y²/b²=1
Answers
Answered by
0
Answer:
Step-by-step explanation:
Squaring both the equations and then adding ,
x²/a² cos²θ + y²/b² sin²θ + 2xy/ab sinθ.cosθ + x²/a² sin²θ + y²/b² cos²θ - 2xy/ab sinθ.cosθ = 2
⇒x²/a² (cos²θ + sin²θ) + y²/b² (sin²θ + cos²θ ) = 2
⇒x²/a² × 1 + y²/b² × 1 = 2 [ ∵ sin²x + cos²x = 1 from trigonometric identities ]
∴ x²/a² + y²/b² = 2 , hence proved
Read more on Brainly.in - https://brainly.in/question/702278#readmore
Answered by
0
Answer: Square both the equations and you will get ur answer!
Similar questions
Political Science,
4 months ago
Math,
4 months ago
English,
7 months ago
Math,
7 months ago
History,
10 months ago