WebbSimplify the expression. 1 − 1 + s i n θ c o s 2 θ cos θ + sin θ 0 sin 2 θ sin θ QUESTION 8 Simplify the expression. c o t θ + c s c θ s i n θ + t a n θ 2 2 sin θ tan θ cos θ + sec θ sin θ … Webb30 sep. 2016 · Since cotθ = cosθ sinθ and cscθ = 1 sinθ, the expression becomes: cosθ sinθ 1 sinθ − sinθ. that's. cosθ sinθ 1−sin2θ sinθ; then, since 1 − sin2θ = cos2θ, the expression becomes: cosθ sinθ cos2θ sinθ. = 1 cosθ = secθ. Answer link.

Simplify csc(theta)tan(theta) Mathway

Webb31 juli 2024 · We simplify as follows: sin^2 (θ) + tan^2 (θ) + cos^2 (θ) = sin^2 (θ) + tan^2 (θ) + cos^2 (θ) = 1 + tan^2 (θ) = sec^2 Therefore, the expression sin^2 (θ) + tan^2 (θ) + cos^2 (θ) is equal to sec^2 (θ). Other form that would also be equivalent to the same expression would be sin^2 (θ) + sin^2 (θ) / cos^2 (θ) + cos^2 (θ). Advertisement WebbThe easiest way is to see that cos 2φ = cos²φ - sin²φ = 2 cos²φ - 1 or 1 - 2sin²φ by the cosine double angle formula and the Pythagorean identity. Now substitute 2φ = θ into those last two equations and solve for sin θ/2 and cos θ/2. Then the tangent identity just follow … trowe funds performance

3.3 Trigonometric Substitution - Calculus Volume 2 OpenStax

Webbdivide numerator and denominator by cos (x) to get: -cos (x) / sin (x) since this is equivalent to -cot (x), then you have: (sin (x) - csc (x) / cos (x) = -cot (x) that's your solution, as far as … WebbSimplify csc (theta)tan (theta) Mathway Precalculus Examples Popular Problems Precalculus Simplify csc (theta)tan (theta) csc(θ) tan(θ) csc ( θ) tan ( θ) Rewrite in terms of sines and cosines, then cancel the common factors. Tap for more steps... 1 cos(θ) 1 cos ( θ) Convert from 1 cos(θ) 1 cos ( θ) to sec(θ) sec ( θ). sec(θ) sec ( θ) WebbFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. trowe global focus eur