Webbsin2 θ sin 2θ = 1 sin θ ie cot2 θ +1 = csc2 θ. Summarising, cos 2θ+sin θ = 1 (6) 1+tan 2θ = sec θ (7) cot 2θ+1 = csc θ (8) Examples 1. Simplify the expression sec2 θ sec2 θ −1. sec2 θ sec2 θ−1 = sec2 θ tan2 θ = 1 cos2 θ sin2 θ cos2 θ = 1 sin2 θ = csc2 θ. 2. Show that 1−2cos2 θ sinθcosθ = tanθ−cotθ. tanθ − ... Webb20 feb. 2024 · csc(θ) Recall that cot θ=cos(θ)/sin(θ) Rewrite your expression: cos(θ)/[sin(θ)cos(θ)] cos(θ) cancels out, and we're left with: 1/sin(θ) 1/sin(θ)=csc(θ)

Simplify the expression: cosec θ/cot θ - byjus.com

Webb23 juni 2016 · Explanation: Since cotθ = 1 tanθ, cottheta = 1/ (sintheta/costheta)= costheta/sintheta#. Also, secθ = 1 cosθ. Use the rearranged form of the Pythagorean identity presented above. We could have also finished with sec2θcscθ, because 1 sinθ = cscθ and 1 cosθ = secθ. Hopefully this helps! Webb22 feb. 2024 · Answer: csc θ Step-by-step explanation: cot θ sec θ can be substituted by reducing the expression into equivalent parts. cot θ = (cos θ)/ (sin θ) sec θ = 1/ (cos θ) Reduce these two values to get 1/ (sin θ) This expression can then be changed to csc θ, as it is also equivalent. Advertisement optimum nutrition gold standard protein shake

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WebbLearn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression tan(x)cot(x). ... step online. Simplify the trigonometric expression tan(x)cot(x). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. 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 … WebbŘešte matematické úlohy pomocí naší bezplatné aplikace s podrobnými řešeními. Math Solver podporuje základní matematiku, aritmetiku, algebru, trigonometrii, kalkulus a další oblasti. portland pressure washer hose adapter