WebMar 20, 2024 · Explanation: we want to simplify. tanθcscθ. now tanθ = sinθ cosθ. and. cscθ = 1 sinθ. ∴ tanθcscθ = sinθ cosθ × 1 sinθ. 1 cosθ = secθ. Answer link. WebJan 14, 2024 · Use the identities cot(θ) = 1 tan(θ) and csc(θ) = ± √1 +cot2(θ) Explanation: cot(θ) = 1 tan(θ) = 1 4 csc(θ) = ± √1 + cot2(θ) csc(θ) = ± √1 + (1 4)2 csc(θ) = ± √1 + 1 16 csc(θ) = ± √17 4 It is impossible to tell whether to use the plus or minus case, without knowing whether the angle is in the first or the third quadrant. Answer link
Using the Pythagorean trig identity (video) Khan Academy
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 … WebApr 10, 2024 · Born, raised, and invested in Texas. We're from here. Since 1905, Horizon has been proud to work with local businesses across central Texas and beyond. Online … check vehicle towing capacity by vin number
Simplify $\\frac{\\cos \\theta}{\\sec \\theta} + \\frac{\\sin \\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 WebFind the exact values of \( \csc \theta \) and \( \tan \theta \). Show transcribed image text. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. 1st step. All steps. Final answer. Step 1/2. Webtrigonometry - Trigonometric identity: $\frac {\tan\theta} {1-\cot\theta}+\frac {\cot\theta} {1-\tan\theta} =1+\sec\theta\cdot\csc\theta$ - Mathematics Stack Exchange Trigonometric … flats to rent in bexhill on sea