WebJan 14, 2024 · Use the identities cot(theta)=1/tan(theta) and csc(theta) = +-sqrt(1 + cot^2(theta)) cot(theta) = 1/tan(theta) = 1/4 csc(theta) = +-sqrt(1 + cot^2(theta)) … WebMay 30, 2016 · csc(θ) = 1 sin(θ) Then we want to prove cot(θ)sec(θ) = csc(θ) that is equivalent to 1 tan(θ) 1 cos(θ) = 1 sin(θ) We recall that tan(θ) = sin(θ) cos(θ), consequently 1 tan(θ) = cos(θ) sin(θ). I substitute in the previous equation 1 tan(θ) 1 cos(θ) = 1 sin(θ) cos(θ) sin(θ) 1 cos(θ) = 1 sin(θ) 1 sin(θ) = 1 sin(θ). Answer link
2. Sine, Cosine, Tangent and the Reciprocal Ratios
Websecθtanθcscθ = 1 Explanation: secθtanθcscθ = cosθ1(cosθsinθ)(sinθ1) ... Verify trigonometric equation (secA+cscA)(secA−cscA) = (tanA+1)(tanA−1) … WebDec 12, 2013 · I need help trying to sole tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi Answers · 4 find all solutions to the equation in (0, 2pi) sin(6x)+sin(2x)=0 arkadash meaning
How do you simplify tan(theta)csc(theta)? Socratic
WebNote that \csc\theta \ge1, and hence 2+\csc\theta must lie outside (1,3). Yet two distinct 2+\csc\theta values are the roots of the given quadratic, which is given to have roots … WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Web1) Work on the side that is more complicated. Try and simplify it. 2) Replace all trigonometric functions with just \sin \theta sinθ and \cos \theta cosθ where possible. 3) Identify algebraic operations like factoring, expanding, distributive property, adding and multiplying fractions. This allows us to simplify the expression further. arkada serum tc16 forum