If 3sintheta+4costheta 5
Web10 jun. 2024 · 3 sin theta = 5-4 cos theta divide the above by cos theta 3 tan theta = 5 sec theta - 4 3 tan theta + 4= 5 sec theta squaring on both sides we get 9 tan²theta + 16 + 24 tan theta = 25 sec² theta 9 tan²theta + 16 + 24 tan theta = 25 (1+tan²theta) 25 + 25 tan² theta - 9 tan² theta - 16 - 24 tan theta = 0 16 tan² theta - 24 tan theta + 9 = 0 WebIf 3sinθ+5cosθ=5, then find the value of (5sinθ−3cosθ). A 4 B 3 C 2 D 1 Medium Solution Verified by Toppr Correct option is B) (3sinθ+5cosθ) 2+(5sinθ+3cosθ) 2 =9(sin 2θ+cos 2θ)+25(sin 2θ+cos 2θ) =34 ∴(5sinθ−3cosθ) 2=34−25=9 ⇒(5sinθ−3cosθ)=3 Solve any question of Trigonometric Functions with:- Patterns of problems > Was this answer …
If 3sintheta+4costheta 5
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WebIf 3sinθ+5cosθ=5, then find the value of (5sinθ−3cosθ). A 4 B 3 C 2 D 1 Medium Solution Verified by Toppr Correct option is B) (3sinθ+5cosθ) 2+(5sinθ+3cosθ) 2 =9(sin 2θ+cos … Web17 mei 2024 · If ` 3 sin theta + 4 cos theta =5` , then value of `sin theta ` is
Web6 apr. 2024 · We square on both sides of \[3\sin \theta + 5\cos \theta = 5\]. We expand it using algebraic identity \[{\left( {a + b} \right)^2} = {a^2} + {b^2} + 2ab\]. Then on further simplification using Pythagoras relation between sine, cosine and tangent, that is by using \[{\sin ^2}\theta + {\cos ^2}\theta = 1\] we will have the desired result. Web17 sep. 2024 · 1 answer. I f a sin θ + b cos θ = C, I f a sin θ + b cos θ = C, then prove that a cos θ − b sin θ = √a2 + b2 − c2 a cos θ - b sin θ = a 2 + b 2 - c 2. asked Aug 24, 2024 …
Web11 mrt. 2024 · If 3sintheta+4costheta =5 then find the value of: 4sintheta-3costheta If you are seeing this message, that means JavaScript has been disabled on your browser , … Web31 mei 2015 · ⇒ 3 sin θ + 4 cos θ = 5. Subtract 3 sin θ from both sides →. ⇒ 4 cos θ = 5 − 3 sin θ. Square both sides →. ⇒ 16 cos 2 θ = 25 + 9 sin 2 θ − 2 (5) (3 sin θ) Now substitute …
Web1 okt. 2016 · Explanation: As sinθ = 4 5 and it is first quadrant, all trigonometric ratios of θ are positive. and cosθ = √1 −( 4 5)2 = √1 − 16 25 = √ 9 25 = 3 5 and tanθ = 4 5 3 5 = 4 5 × 5 3 = 4 3 Now sin2θ = 2sinθcosθ = 2 × 4 5 × 3 5 = 24 25 cos2θ = 2cos2θ− 1 = 2 ×( 3 5)2 −1 = 2 × 9 25 −1 = 18 25 − 1 = − 7 25 tan2θ = 24 25 − 7 25 = 24 25 × 25 −7 = − 24 7
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. leicester tigers t shirtsWeb5 dec. 2024 · First, rearrange the equation to 4cosθ = 5 − 3sinθ. Then, square both sides. On the left, you'll have 16cos2θ, which you can replace with 16(1 − sin2θ), and you can then reorganise everything into a quadratic equation in terms of sinθ. leicester tigers vs newcastle falconsWebClick here👆to get an answer to your question ️ If 3sintheta + 4costheta = 5 , then the value of 3costheta - 4sintheta is equal to. Solve Study Textbooks Guides. Join / Login. Question . ... If 3 sin θ + 4 cos θ = 5, then the value of 4 sin ... leicester tigers results todayWeb4 apr. 2024 · 1. from both the sides of the above equation, we get, − cos 2 θ + 4 sin θ cos θ + 4 − 4 sin 2 θ = 0. Let us rearrange the above equation as follows, cos 2 θ − 4 sin θ cos θ + 4 sin 2 θ = 4. We can express the above expression into. … leicester tigers v bath predictionWeb1 okt. 2016 · Explanation: As sinθ = 4 5 and it is first quadrant, all trigonometric ratios of θ are positive. and cosθ = √1 −( 4 5)2. = √1 − 16 25 = √ 9 25 = 3 5. and tanθ = 4 5 3 5 = 4 … leicester time nowWeb5 dec. 2024 · First, rearrange the equation to 4cosθ = 5 − 3sinθ. Then, square both sides. On the left, you'll have 16cos2θ, which you can replace with 16(1 − sin2θ), and you can … leicester tigers v wasps scoreWeb27 sep. 2016 · $$\int_0^{2\pi} \frac{\mathrm dx}{5-4\cos x}=2\int_0^\pi \frac{\mathrm dx}{5-4\cos x}=\frac43[\arctan(3\tan\frac x2)]_0^{\to\pi^-}=\frac23\pi$$ So what happens is this: when asked for an antiderivative, it gives one that is only valid on an interval, though the function is continuous everywhere, so there should be an antiderivative valid on the … leicester tigers welford road