WebLet $\sec^{-1}4=\theta\implies\sec\theta=4$ Now, $\tan^2\theta=\sec^2\theta-1$ Finally using the definition of the principal value of $\sec^{-1},0<\theta<\dfrac\pi2\implies\tan\theta>0$ Share. Cite. Follow answered Oct 19, 2014 at 16:26. lab bhattacharjee lab bhattacharjee. 1 WebMar 25, 2024 · How do you simplify 1 − tan2θ 1 + tan2θ? Trigonometry Trigonometric Identities and Equations Proving Identities 2 Answers Hriman Mar 25, 2024 2cos2θ − 1 or cos2θ Explanation: Using the identities: 1 + tan2θ = sec2θ 1 secθ = cosθ tanθ = sinθ cosθ sin2θ = 1 −cos2θ 2cos2θ − 1 = cos2θ Start: 1 − tan2θ 1 + tan2θ = 1 − tan2θ sec2θ = Split …
Double Angle Identities - Trigonometry Socratic
WebMath. Precalculus. Precalculus questions and answers. 16. Given theta is an acute angle with cos (theta)=1/4 , find the value of tan (theta/2)+tan (2theta). Hint: Find each (using half angle or double angle formulas) and add them up. A)5 (sqrroot15)/14. B)2 (sqrroot15)/35. C)-2 (sqrroot15)/35. WebNov 20, 2016 · How do you solve tan θ + 1 = 0? Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations 1 Answer Binayaka C. Nov 20, 2016 Solution: θ = 1350 and θ = 3150 Explanation: tanθ +1 = 0 # :. tan theta = -1 ; tan (pi-45)= -1 and tan(2π− 45) = −1 ∴ θ = π −45 = 1350 and θ = 2π −45 = 360 − 45 = 3150 korean female baggy clothes
How do you simplify #(1- tan^2θ) /( 1+ tan^2 θ)#? - Socratic.org
WebFor the next trigonometric identities we start with Pythagoras' Theorem: The Pythagorean Theorem says that, in a right triangle, the square of a plus the square of b is equal to the square of c: a 2 + b 2 = c 2. Dividing through by c2 gives. a2 c2 + b2 c2 = c2 c2. This can be simplified to: ( a c )2 + ( b c )2 = 1. WebJan 9, 2024 · 1. Prove the identity for. Using de Moivre's theorem I have found that: therefore: To then try and get the whole expression in terms of I multiplied top and bottom of the fraction by . This gave me the following but I'm not now sure how to finish it off. trigonometry. Share. Cite. manfred döss wikipedia