If 4 sin theta is equal to 3 cos theta
Websin(θ) = 3 4 sin ( θ) = 3 4 Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values. sin(θ) = opposite hypotenuse sin ( θ) = opposite hypotenuse Find the adjacent side of the unit circle triangle. WebThe Pythagorean Identities are based on the properties of a right triangle. cos2θ + sin2θ = 1. 1 + cot2θ = csc2θ. 1 + tan2θ = sec2θ. The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle. tan(− θ) = − tanθ. cot(− θ) = − cotθ.
If 4 sin theta is equal to 3 cos theta
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WebIf ` sin theta = 1/2 and theta ` is acute then ` (3 cos theta -4 cos^(3) theta)` is equal to. WebSolution The correct option is B - 4 5 or 4 5 Explanation for the correct option Given: tan ( θ) = - 4 3 ⇒ sin ( θ) cos ( θ) = - 4 3 ∵ tan ( θ) = sin ( θ) cos ( θ) ⇒ sin ( θ) 1 - sin 2 ( θ) = - 4 3 ∵ sin 2 ( θ) + cos 2 ( θ) = 1 squaring both sides
Web17 apr. 2024 · Best answer 3 cos θ − 4 sin θ = 2 cos θ + sin θ 3 cos θ - 4 sin θ = 2 cos θ + sin θ ⇒ 3 cos θ − 2 cos θ = 4 sin θ + sin θ ⇒ 3 cos θ - 2 cos θ = 4 sin θ + sin θ ⇒ cos θ = 5 sin θ ⇒ cos θ = 5 sin θ ⇒ sin θ cos θ = 1 5 ⇒ sin θ cos θ = 1 5 ∴ tan θ = 1 5. ∴ tan θ = 1 5. ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series Webcos (θ) = 3 4 cos ( θ) = 3 4 Use the definition of cosine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values. cos(θ) = …
WebIf 3sinθ+4cosθ=5, then find the value of 4sinθ−3cosθ. Easy Solution Verified by Toppr We have, 3sinθ+4cosθ=5 ………. (1) On squaring both sides, we get (3sinθ+4cosθ) 2=5 2 … Web7 apr. 2024 · The Cos Theta Formula is a Mathematical formula used to calculate the Cosine of an angle. It can be abbreviated as Cos (θ) and looks like this: Cos (θ) = adjacent/hypotenuse. In other words, it takes the length of the adjacent side (the side next to the angle) and divides it by the length of the hypotenuse (the longest side of a right …
Web6 mei 2024 · Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples. There are an infinite number of them, and this is just the smallest. cscθ = 1 sinθ = 5 3. cosθ = AB AC = 4 5. secθ = 1 cosθ = 5 4. tanθ = BC AB = 3 4. cotθ = 1 tanθ = 4 3.
WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. stormwater management facility definitionWebThe usual trigonometric identity [1] is: sin2θ = 2sinθcosθ from which we can deduce: sinθ ×cosθ = 21 sin2θ Footnotes [1] List of ... Frictionless banked turn, not sliding down an incline? The vehicle is moving in a horizontal circle with a constant speed. That means it is constantly accelerating towards the centre of this circle. ross caldwell idahoWeb9 nov. 2024 · If 4 sin theta is equal to 3 then cos theta is equal to See answers Advertisement singhvikramaditya881 Step-by-step explanation: cos theta=4/5 Hope it helps you in some way or the other Advertisement gauravbaba7081 Answer: √7/4 here 4sin (α.)=3 then, sin (α)=3/4. because by Pythagoras theorem (hypotenuse) ^2= (perpandicular)^2+ … ross caldwellWebYou want to substitute a function in there, so we choose tan (theta) since it is related to sec (theta) by tan^2 (theta) + 1 = sec^2 (theta). So, in order for this substitution to work out okay, you're letting x=a*tan (theta) so that when you write it out, you will end up with a^2+ (a*tan (theta))^2 in your denominator. stormwater management facility typeWebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. ross callaghan warkworthWebStep 1. Find the value of c o s θ + s i n θ: Given, cos θ - sin θ = 2 sin θ square both sides, we get cos 2 θ + sin 2 θ – 2 sin θ cos θ = 2 sin 2 θ ⇒ 1 – 2 sin θ cos θ = 2 sin 2 θ ⇒ 2 … ross caldwell obituaryWeb1) Work on the side that is more complicated. Try and simplify it. 2) Replace all trigonometric functions with just \sin \theta sinθ and \cos \theta cosθ where possible. 3) Identify algebraic operations like factoring, expanding, distributive property, adding and multiplying fractions. This allows us to simplify the expression further. ross caldwell plumbing