WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. WebMar 22, 2024 · Transcript. Ex 2.2, 18 tan (sin−1 3/5 + cot−1 3/2 ) We write sin-1 3/5 & cot-1 3/2 in terms of tan-1 Let sin−1 3/5 = a & cot−1 3/2 = b So, our equation becomes tan …
Algebra Calculator & Problem Solver - Chegg
WebMar 30, 2024 · Transcript. Ex 2.2, 21 Find value of : tan−1 √3 – cot−1 (−√3) Finding tan−1 √𝟑 Let y = tan−1 √3 tan y = √3 tan y = tan (𝝅/𝟑) ∴ y = 𝝅/𝟑 Since range of tan-1 is ( (−π)/2,π/2) Hence, … WebSolution Finding the value of 𝛉 𝛉 𝛉 𝛉 𝛉 𝛉 𝛉 𝛉 ( 5 sin θ - 3 cos θ) ( 5 sinθ + 2 cosθ) : Given that 5 tan θ = 4, ⇒ tan θ = 4 5 Now , ( 5 sin θ - 3 cos θ) ( 5 sin θ + 2 cos θ) Dividing the numerator and denominator by cos θ = ( 5 tan θ – 3) ( 5 tan θ + 2) = [ 5 ( 4 … ferguson marine port glasgow news
Ex 2.2, 18 - tan (sin-1 3/5 + cot-1 3/2) - Class 12 NCERT - teachoo
WebGiven, tan-1 (3)-cot-1 (-3) We know that, π-tan-1 (θ) = tan-1 (-θ) So, π-tan-1 (3) = tan-1 (-3) ⇒ tan-1 (3) = π-tan-1 (-3) Therefore, we get: = π-tan-1 (-3)-cot-1 (-3) = π-tan-1 (-3) + cot … Web3. tan2 θ cos2 θ = 1 − cos2 θ Solution: We know that, sin 2 θ + cos 2 θ = 1 Taking, L.H.S = tan 2 θ cos 2 θ = (tan θ × cos θ) 2 = (sin θ) 2 = sin 2 θ = 1 – cos 2 θ = R.H.S – Hence Proved 4. cosec θ √ (1 – cos2 θ) = 1 Solution: Using identity, sin 2 θ + cos 2 θ = 1 ⇒ sin 2 θ = 1 – cos 2 θ Taking L.H.S, L.H.S = cosec θ √ (1 – cos 2 θ) WebThere are 2 main approaches to solve a trig function F (x). 1. Transform F (x) into a product of many basic trig functions. Exp. Solve F (x) = cos x + cos 2x + cos 3x = 0. Solution. Use trig identity to transform (cos x + cos 3x): F (x) = 2cos 2x.cos x + cos 2x = cos 2x (2cos x + 1 ) = 0. Next, solve the 2 basic trig equations. 2. delete history search in google