Web10 mei 2024 · The answer is zerofirst u square both sides on the two eqns x = a Cosθ , y = b sinθ and but value of x2 and y2 in : b2x2 + a2y2 – a2b2 and then take a2b2 common… meghnajain1152 meghnajain1152 10.05.2024 WebGiven: x = a sinθ and y = b cosθ. So, b 2 x 2 + a 2 y 2 = b 2 ( a s i n θ) 2 + a 2 ( b c o s θ) 2. = a 2 b 2 sin 2 θ + a 2 b 2 cos 2 θ. = a 2 b 2 ( sin 2 θ + cos 2 θ) We know that, θ θ …
If (cos θ + sin θ) = √2 cos θ, Show that (cos θ - GeeksForGeeks
Web22 jan. 2024 · In general for x = a cos t + b sin t and y = c cos t + d sin t Solve the two simultaneous equations for sin t, cos t Then use cos 2 t + sin 2 t = 1 to eliminate t Can … WebIf D < 0, then no tangent can be drawn from (x1 y1) to the hyperbola. x2 y2 x sec θ y tan θ (b) Equation of the tangent to the hyperbola 2 2 1 at the point (a sec , b tan ) is 1. a b a b cos 1 2 sin 1 2 2 ,y=b 2 Note : Point of intersection of the tangents at 1 & 2 is x = a cos 1 2 cos 1 2 2 2 x 2 y2 (c) y = mx a 2 m 2 b 2 can be taken as the tangent to the hyperbola 1. … sandaly na platforme
If x = a Cosθ, y = b sinθ, then b2x2 + a2y2 – a2b2 is equal to?
WebSolution Given: x = a sinθ and y = b cosθ So, b 2 x 2 + a 2 y 2 = b 2 ( a s i n θ) 2 + a 2 ( b c o s θ) 2 = a 2 b 2 sin 2 θ + a 2 b 2 cos 2 θ = a 2 b 2 ( sin 2 θ + cos 2 θ) We know that, θ θ sin 2 θ + cos 2 θ = 1 Therefore, b 2 x 2 + a 2 y 2 = a 2 b 2 Concept: Trigonometric Identities Is there an error in this question or solution? Web12 apr. 2024 · A = (cos θ 0 0 cos θ ), B = (sin θ 0 0 sin θ ) then show that A 2 + B 2 = I 3. If A = (1 − 1 1 3 ), B = (1 − 4 2 2 ), C = (− 7 3 6 2 ) verify that A (B + C) = A B + A C. ** 4. … WebGiven: a – b Sin θ = 2 Cos θ and a2 – b2 Sin2θ = 8 Cos2θ Concept Used: Use of trigonometric ratios Formula Used: Sec &t. Get Started. Exams. SSC Exams. ... b Sin θ … sandaly fly london