Find the value of sin theta if tan theta 4
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 … 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
Find the value of sin theta if tan theta 4
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WebMar 7, 2024 · If tan(θ) = 4 then the ratio of the opposite side to the adjacent side is 4:1 Two possibilities exist depending upon whether θ is in Quadrant I or Quandrant III; as indicated below: In either case the relative length of … 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 …
WebTrigonometry: Find sin θ when tan θ is known. if tan θ = 63 and cos θ is negative, find sin θ. So since tan θ is positive and cos θ is negative, it lies in the 3 rd quadrant. So sin is … WebSep 26, 2015 · How do you find the exact value of #sin(theta) = 4#? Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations. 1 Answer …
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 … WebThere 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 …
WebPrecalculus. Find the Trig Value tan (theta)=4/3. tan (θ) = 4 3 tan ( θ) = 4 3. Use the definition of tangent to find the known sides of the unit circle right triangle. The quadrant …
WebIf 5 tanθ=4, then value of 5sinθ+2cosθ5sinθ−3cosθ is A 31 B 61 C 54 D 32 Easy Solution Verified by Toppr Correct option is B) Given5tanθ=4 or cosθsinθ= 54 ∴sinθ= 54cosθ Thegiventrigonometricexpressionis→ 5sinθ+2cosθ5sinθ−3cosθ (Substitutingsinθ= 54cosθ) = 5× 54cosθ+2cosθ5× 54cosθ−3cosθ= 4+24−3= 61 george tiffany wenatchee waWebOut of other 6 trigonometric formulas, let’s have a look at the practice question of tan theta formula. Example 1: If Sin x = 4/5, Find the value of Cos x and tan x? Solution: Using Trigonometric identities: Cos 2 x = 1- … christian church el cajonWebExplanation. 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. george tilghman obituaryWebFind the exact value of sin(θ) and tan(θ) if you know that cos(θ)=−73 and π≤θ≤23π. Show your work. sin(θ)= tan(θ)= Show transcribed image text. Expert Answer. Who are the … christian church eagle idahoWebProve that: sinθ+cosθ−1sinθ−cosθ+1=secθ+tanθ. Medium. View solution. >. View more. christian church el dorado hills caWebSolution:-. given that. θ sec ( θ) = 4, sin θ < 0. θ sec ( θ) = h y p a d j a c e n t. Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side. View the full answer. george timblin obituaryWebYou 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 … christian church easter offering