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Find the value of sin theta if tan theta 4

WebIf 4 tan theta = 3 , then evaluate (4sintheta-costheta) (4sintheta+costheta) Question If 4tanθ=3, then evaluate (4sinθ+cosθ)(4sinθ−cosθ) Easy Solution Verified by Toppr Given 4Tanθ=3⇒Tanθ= 43 sinθ= 53cosθ= 54 4sinθ+cosθ4sinθ−cosθ= 4( 53)+ 544( 53)− 54 = 51658 = 21 Was this answer helpful? 0 0 Similar questions WebExplanation. tan θ = o p p a d j = 3 4. h y p 2 = o p p 2 + a d j 2. h y p = 3 2 + 4 2. = 5. sin θ = 3 5; cos θ = 4 5. sin θ + cos θ = 3 5 + 4 5. = 7 5 = 1 2 5. There is an explanation video available below.

Solve csc(θ) Microsoft Math Solver

WebExpert Answer. sec = 5/4 ; 3pi/2 < < 2pi cos = 4/5 a) sin ( +2pi ) = sin sin = - sqrt ( 1-cos^2) = sqrt ( 1- …. View the full answer. Transcribed image text: If sec (theta) = 5/4 where 3 pi/2 < theta < 2 pi Find the exact value of the following sin (theta + 2 pi) = tan (pi - theta) = sin (theta - 3 pi/2) = Sin (2 theta) = cos (2 theta) = sin ... WebDec 2, 2024 · Best answer Given, tan θ + sec θ = 4 ⇒ sin θ cos θ s i n θ c o s θ + 1 cos θ = 4 1 c o s θ = 4 1+sin θ cos θ = 4 1 + s i n θ c o s θ = 4 ⇒ sin2 θ 2 +cos2 θ 2 +2sin θ 2 cos θ 2 (cos2 θ 2 −sin2 θ 2) = 4 s i n 2 θ 2 + c o s 2 θ 2 + 2 s i … define negative externality economics https://neromedia.net

Using trigonometric identities (video) Khan Academy

WebSep 26, 2015 · How do you find the exact value of #sin(theta) = 4#? Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations. 1 Answer … WebJan 21, 2024 · sin θ = Perpendicular Hypotenuse So comparing with values, Perpendicular = 12 and Hypotenuse = 13 Using phythagorous you got base as 5. cos θ = Base Hypotenuse cos θ = 5 13 As cos θ positive as in IV quadrant. cot θ = Base Perpendicular cot θ = − 5 12 As cot θ negative as in IV quadrant. Share Cite Follow answered Jan 21, 2024 … WebYou would need an expression to work with. For example: Given sinα = 3 5 and cosα = − 4 5, you could find sin2α by using the double angle identity. sin2α = 2sinαcosα. sin2α = 2(3 5)( − 4 5) = − 24 25. You could find … feel the music headphones

If tan θ + sec θ = 4, then what is the value of sin θ?

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Find the value of sin theta if tan theta 4

How do you use tantheta=4 to find costheta? Socratic

WebJan 23, 2024 · Use the identity sec(theta) = +-sqrt(1 + tan^2(theta)) Given: tan(theta) = 4 Substitute (4)^2 for tan^2(theta) into the identity: sec(theta) = +-sqrt(1 + 4^2 sec(theta) … WebThere are two angles on the unit circle that have a tangent value of \(−1\): \(\theta=\dfrac{3\pi}{4}\) and \(\theta=\dfrac{7\pi}{4}\). Solve Trigonometric Equations Using a Calculator. Not all functions can be solved exactly using only the unit circle. When we must solve an equation involving an angle other than one of the special angles, we ...

Find the value of sin theta if tan theta 4

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WebApr 14, 2024 · Viewed 4k times 3 If tan 9 θ = 3 4, where 0 &lt; θ &lt; π 18, then find the value of 3 csc 3 θ − 4 sec 3 θ. My approach:- tan 9 θ = 3 4 θ = 37 ∘ 3 By using this, we get value of ( 3 csc 3 θ − 4 sec 3 θ) = 9.95 by using calculator. I want know if there's any way to solve this problem without calculator. trigonometry inverse-function Share Cite Follow WebThe process is somewhat confusing to find the exact value, but here it is: Let x = 18° (therefore 5x = 90°) sin (3x) = cos (90° - 3x) = cos (5x - 3x) = cos (2x) sin (3x) = cos (2x) (Remember that x = 18°, so that is why this …

WebIf cot&gt;θ , sin WebFind the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side. Replace the known …

WebSolve for ? tan(theta)=sin(theta) Mathway. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step … WebTo solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to …

WebVerified by Toppr Correct option is C) tanθ+secθ=4⇒ cosθ1+sinθ=4⇒ 41+sinθ=cosθ Also, we know that, cos 2θ=1−sin 2θ⇒( 41+sinθ) 2=1−sin 2θ⇒1+sin 2θ+2sinθ=16−16sin …

Web5sin(θ) = ±5 1− cos(θ)2 Explanation: For the purpose of simplicity, i will replace sin (theta) with y and cos (theta) ... Expressing r = cot(θ) as an equation in terms of Cartesian … define negative regulator in your own wordsWebThere are many ways to find sin θ. You could use the identity 1 + cot 2 θ ≡ cosec 2 θ, noting that cot is the reciprocal of tan and tan θ = 12 5 cot θ = 5 12. Alternatively, you could use your value of cos θ along with the … feel the music soft and mellowWebMath. Precalculus. Precalculus questions and answers. 16. Given theta is an acute angle with cos (theta)=1/4 , find the value of tan (theta/2)+tan (2theta). Hint: Find each (using half angle or double angle formulas) and add them up. A)5 (sqrroot15)/14. B)2 (sqrroot15)/35. C)-2 (sqrroot15)/35. define negative feedback in bioWebC- Cosine is the only positive trigonometric function in the 4 quadrant. So the question you mention the trigonometric was positive in 4th quadrant was cosine. While ones that were negative were sin and tan. Alternatively know that cos theta = x, sin theta = y, feel the music zumba shirtsWebFeb 22, 2024 · Draw a right triangle for the first one. Label the corner angle as theta. Since tan is opposite / adjacent. Tan (θ) = 4/9, by Pythagorean theorem, the hypotenuse must be sqrt (16+81) or sqrt (97). So sin (θ) = 4/sqrt (97). Similarly, cos (θ) = 9/sqrt (97). Now do the same for the other triangle. define negative pressure breathingWebProve that: sinθ+cosθ−1sinθ−cosθ+1=secθ+tanθ. Medium. View solution. >. View more. feel the music quotesfeel the nails by ray boltz