WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. WebThe solutions are θ = 2π 3, 4π 3 and θ = 0 . 31. Solve 2sin2 θ −5sinθ +3 = 0 on the interval 0 ≤ θ < 2π. 2sin2 θ −5sinθ +3 = 0 (2sinθ −3)(sinθ −1) = 0 ⇒ sinθ = 3 2, sinθ = 1 The solution is θ = π 2. Note that there are no solutions to the first equation since −1 ≤ sinθ ≤ 1.

Let A = , where 0 < 2pi . Then - Toppr

WebReplace x x and y y with the actual values. r = 2√2 r = 2 2. θ = tan−1 ( 2 −2) θ = t a n - 1 ( 2 - 2) The inverse tangent of −1 - 1 is θ = 135° θ = 135 °. r = 2√2 r = 2 2. θ = 135° θ = 135 °. This is the result of the conversion to polar coordinates in (r,θ) ( r, θ) form. (2√2,135°) ( 2 2, 135 °) WebApr 16, 2015 · If tan2(x) −1 = 0. then. tan2(x) = 1. and. tan(x) = ± 1. Within the domain [0,2π] this occurs at. x = π 4, x = 3π 4, x = 5π 4, and x = 7π 4. (from basic definition of tan) pho win 9

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WebExample 7.16 involved finding the area inside one curve. We can also use Area of a Region Bounded by a Polar Curve to find the area between two polar curves. However, we often need to find the points of intersection of the curves and determine which function defines the outer curve or the inner curve between these two points. WebSep 28, 2024 · tan 135° = tan (90° + 45°) = tan ( (1 × 90°) + 45°) = -cot 45° = -1. Explanation As here too, an odd coefficient of 90° is present, so tan changes to the cot, and also it’s … WebOct 16, 2016 · Explanation: 3tan2(x) −1 = 0. ⇒ tan2(x) = 1 3. ⇒ tan(x) = ± 1 √3. If we check the unit circle, we find that tan(x) = 1 √3 when sin(x) = 1 2 and cos(x) = √3 2, that is, at x … how do you clean lichen off a gravestone