WebOct 29, 2016 · For all x sin(x) = ∞ ∑ i = 0 ( − 1)i (2i + 1)!x2i + 1 So sin( 1 nk) = ∞ ∑ i = 0 ( − 1)i (2i + 1)!n − ( 2i + 1) k and, by comparison with p-series, each term converge as soon as k > 1. Moreover, you do not need to consider absolute values since n ≥ 1. WebFind the Exact Value sin((5pi)/3) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms.
Evaluate each of the following: sin^-1(sin 7π/6) - Sarthaks
WebMar 22, 2024 · Evaluate each of the following: (i) sin^-1(sin π/6) (ii) sin^-1(sin 7π/6) (iii) sin^-1(sin 5π/6) asked Feb 12, 2024 in Trigonometry by RahulYadav ( 53.5k points) … WebGiven a trigonometric equation, solve using algebra. Look for a pattern that suggests an algebraic property, such as the difference of squares or a factoring opportunity. Substitute the trigonometric expression with a single variable, such as x or u. Solve the equation the same way an algebraic equation would be solved. name of wand in bright
6.3: Inverse Trigonometric Functions - Mathematics LibreTexts
WebSolution for Evaluate the definite integrals using properties of the definite integral and the fact that +4 5 1₁1₁1(2). f(x) dx = -4, [³ f(x) f(x) dx = 11, and… WebFeb 12, 2024 · As sin-1(sin x) = x with x ∈ [-π/2, π/2] So, sin-1(sin 13π/7) = – π/7 (v) Given as sin-1(sin 17π/8) Given can be written as sin (2π + π/8) sin (2π + π/8) can be written as sin (π/8) On, substituting these values in sin-1(sin 17π/8) we get sin-1(sin π/8) As sin-1(sin x) = x with x ∈ [-π/2, π/2] So, sin-1(sin 17π/8) = π/8 WebEvaluate each of the following. You are not required to justify your answer. (a) cos (arccos (2/3)) (b) sin ( arccos Question picture is easier to explain! thanks so much Transcribed Image Text: Evaluate each of the following. You are not required to justify your answer. (a) cos (arccos (2/3)) (b) sin ( arccos Expert Solution meetion gm21 software