Tan theta cot theta 2
WebFeb 17, 2024 · tan ( π 2 − θ) = sin ( π 2 − θ) cos ( π 2 − θ) But sin ( π 2 − θ) = sin ( π 2) cos ( θ) − cos ( π 2) sin ( θ) = 1 cos ( θ) − 0 sin ( θ) = cos ( θ) and cos ( π 2 − θ) = cos ( π 2) cos ( θ) + sin ( π 2) sin ( θ) = 0 sin ( θ) + 1 sin ( θ) = sin ( θ) Therefore tan ( π 2 − θ) = cos ( θ) sin ( θ) = cot ( θ) Share Cite answered Feb 17, 2024 at 17:55 Webtan θ − sec θ + 1 tan θ + sec θ − 1 = tan θ + sec θ You will need to make three posts on this discussion, as follows: post the problem. - Your second post sheuld twe to establish the identity on someone else's post by manipulating the left-hand side only.
Tan theta cot theta 2
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Webwriting tan θ as sin θ cos θ and cot θ as cos θ sin θ, we get sin θ cos θ 1 − cos θ sin θ + cos θ sin θ 1 − sin θ cos θ = sin 2 θ c o s θ ⋅ ( sin θ − cos θ) + cos 2 θ sin θ ⋅ ( cos θ − sin θ) (how?) = sin 2 θ cos θ ⋅ ( sin θ − cos θ) − cos 2 θ sin θ ⋅ ( sin θ − cos θ) = 1 ( sin θ − cos θ) ( sin 2 θ cos θ − cos 2 θ sin θ) WebNov 27, 2024 · Here , in tanθ + cotθ = 2 , cotθ can be written as 1/tanθ . → tanθ + cotθ = 2 → tanθ + 1/tanθ = 2 → tan²θ + 1/tanθ = 2 → tan²θ + 1 = 2tanθ → tan²θ + 1² - 2tanθ = 0 → ( tanθ - 1 )² = 0 → tanθ - 1 = 0 → tanθ = 1 Now finding tan¹⁰θ + cot¹⁰θ Substituting cot¹⁰θ = 1/tan¹⁰θ → tan¹⁰θ + 1/tan¹⁰θ Substituting tan θ = 1 → 1¹⁰ + 1/1¹⁰ → 1 + 1/1 → 1 + 1
WebQ. Prove that : tan8θ−tan 6θ−tan2θ=tan8θ. tan6θ.tan2θ. Q. If sin theta =12/13 find the value of sin2 theta-cos2 theta×1/tan2 theta. Q. If tan θ + cot θ = 2, find the value of tan 2 θ + cot 2 θ. WebTrigonometry Verify the Identity tan (theta)+cot (theta)=sec (theta)csc (theta) tan (θ) + cot (θ) = sec(θ) csc(θ) tan ( θ) + cot ( θ) = sec ( θ) csc ( θ) Start on the left side. tan(θ)+cot(θ) …
WebVerify the Identity cos (theta) (tan (theta)+cot (theta))=csc (theta) cos (θ)(tan (θ) + cot (θ)) = csc (θ) cos ( θ) ( tan ( θ) + cot ( θ)) = csc ( θ) Start on the left side. cos(θ)(tan(θ)+cot(θ)) cos ( θ) ( tan ( θ) + cot ( θ)) Simplify the expression. Tap for more steps... sin(θ)+ cos2(θ) sin(θ) sin ( θ) + cos 2 ( θ) sin ( θ) WebIf tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 theta Question If tan θ + cot θ = 2, find the value of tan 2θ+cot 2θ Medium Solution Verified by Toppr Correct option is …
WebFeb 17, 2024 · Equation = (1 +cot(θ) −csc(θ))(1 + tan(θ) + sec(θ)) ( +tan(θ) instead of −tan(θ) ). Then, the equation is indeed 2 for all θ. Answer link
WebSte 2. Salado, TX 76571. Get directions. Mon. 10:00 AM - 5:00 PM. Tue. 10:00 AM - 5:00 PM. Wed. 10:00 AM - 5:00 PM. Thu. 10:00 AM - 5:00 PM. Fri. 10:00 AM - 5:00 PM. Open now: … splitting hdmi 2 resolutionsWebSep 27, 2024 · (Sec (theta)*sin (theta))/ (tan (theta)+cot (theta))=sin^2 (theta) (Sec (theta)*sin (theta))/ (tan (theta)+cot (theta))=sin^2 (theta) asked by PLEASE HELP September 27, 2024 4 answers I am going to use x for theta (Secx*sinx)/ (tanx+cotx)=sin^2 x LS = (1/cosx * sinx)/ (sinx/cosx + cosx/sinx) = (sinx/cosx)/ ( (sin^2 x + cos^2 x)/ (sinxcosx)) splitting hares slot machineWebOct 12, 2024 · `cot (theta/2)-tan (theta/2)` Doubtnut 2.64M subscribers Subscribe 2.3K views 4 years ago To ask Unlimited Maths doubts download Doubtnut from - … splitting hatchetWebQ. If sinθ+cosθ=√2 then evaluate tanθ+cotθ. Q. sin 2 θ tanθ + cos 2 θ cot θ + 2sin θ cos θ = tan θ + cot θ. Q. If 3 cos 2 θ + 7 sin 2 θ = 4, show that cot θ = 3. Or, if tan θ θ θ θ θ θ θ θ θ θ θ = 8 15, evaluate ( 2 + 2 sinθ) ( 1 - sinθ) ( 1 + cosθ) ( 2 - 2 cosθ). Q. Solve : sin2θtanθ+cos2θcotθ−sin2θ=1 ... splitting hazardous tabletsWebOct 5, 2016 · Explanation: 1 − tanθ 1 + tanθ = cotθ − 1 cotθ + 1 Right Side: = cotθ −1 cotθ +1 = 1 tanθ −1 1 tanθ +1 = 1−tanθ tanθ 1+tanθ tanθ = 1 − tanθ tanθ ⋅ tanθ 1 +tanθ = 1 − tanθ 1 + tanθ = Left Side Answer link splitting headache là gìWebtan θ + c o t θ = 2 Solution Step 1: Use the relation between tangent and cotangent of an angle and reduce given equation into a quadratic equation Given that tan θ + c o t θ = 2 … splitting headache traduçãoWeb( Math Trig Identities) sin (-x) = -sin (x) csc (-x) = -csc (x) cos (-x) = cos (x) sec (-x) = sec (x) tan (-x) = -tan (x) cot (-x) = -cot (x) tan (x y) = (tan x tan y) / (1 tan x tan y) sin (2x) = 2 sin x … Free math lessons and math homework help from basic math to algebra, … splitting hdmi input