WebMar 22, 2024 · Transcript Ex 2.1, 1 Find the principal value of sin-1 (−1/2) Let y = sin-1 ( (−1)/2) y = − sin-1 (1/2) y = − 𝛑/𝟔 Since Range of sin −1 is [ (−𝝅)/𝟐, ( 𝝅)/𝟐] Hence, Principal Value is (−𝝅)/𝟔 We know that sin−1 (−x) = − sin −1 x Since sin 𝜋/6 = 1/2 𝜋/6 = sin−1 (𝟏/𝟐) Next: Ex … Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. … Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. … Transcript. Misc 1 Find the value of cos-1 (cos⁡〖13π/6〗 ) Let y = cos-1 … Example 1 Find the principal value of sin–1 (1/√2). Let y = sin–1 (1/√2) sin y = 1/√2 … WebAug 18, 2024 · Find the principal value of sin^-1(1/2) and sin^-1(-1/√2) asked Aug 18, 2024 in Inverse Trigonometric Functions by Navin01 (51.2k points) inverse trigonometric functions; class-12; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries.

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Webgiven, sin −1(sin 713π) =sin −1(sin(2π− 7π)) =sin −1(−sin(7π)) =sin −1(sin( 7−π)) We know that range of sin −1 is [ 2−π, 2π] = 7−π Was this answer helpful? 0 0 Similar … WebMar 30, 2024 · Ex 2.1, 10 (Method 1) Find the principal value of cosec–1 (–√2) Let y = cosec–1 (– √2) y = −cosec–1 (√2) y = − 𝝅/𝟒 Since Range of cosec−1 is [−π/2,π/2] − {0} Hence, Principal Value is (−𝝅)/𝟒 We know that cosec−1 (−x) = − cosec −1 x Since cosec 𝜋/4 = √2 𝜋/4 = cosec−1 (√2) Ex 2.1, 10 (Method 2) Find the principal value of cosec–1 (–√2) Let y = … dino\u0027s seaville diner nj

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WebMar 22, 2024 · Transcript Example 1 Find the principal value of sin–1 (1/√2). Let y = sin–1 (1/√2) sin y = 1/√2 sin y = sin (𝝅/𝟒) ∴ y = 𝝅/𝟒 Since range of principal value of sin −1 is [ (−𝝅)/𝟐, ( 𝝅)/𝟐] Hence, Principal Value is 𝝅/𝟒 (Since sin 𝜋/4 = 1/√2) Next: Example 2 → Ask a doubt Chapter 2 Class 12 Inverse Trigonometric Functions Serial order wise Examples Websin -1 (1) = Π/2 (in radian) Since the inverse sin -1 (1) is 90° or Π/2. ‘1’ denotes the maximum value of the sine function. Hence, for every 90 degrees it will happen, such as at Π/2, 3Π/2, and so on. By this we can conclude that; sin -1 (1) = Π/2+2Πk (for any integer k) Value Of Sin 15 Value Of Sin 180 Sin 90 Degrees Law of Sines Value of sin 0 WebHence for such equations, we have to find the values of x or find the solution. We know that sin x and cos x repeat themselves after an interval of 2π, and tan x repeats itself after an interval of π. ... Q.2: Find the principal solution of the equation sin x = 1/2. Solution: Since we know, sin π/6 = 1/2. and sin 5π/6 = sin (π – π/6 ... beauty salons kenosha wi