If 3sintheta+4costheta 5
WebIf 3sinθ+4cosθ =5 3 sin θ + 4 cos θ = 5, then find the value of 4sinθ−3cosθ 4 sin θ − 3 cos θ . Solution We have, 3sinθ+4cosθ =5 3 sin θ + 4 c o s θ = 5 ………. (1) On squaring both … Web5 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.
If 3sintheta+4costheta 5
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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. Web17 mei 2024 · If ` 3 sin theta + 4 cos theta =5` , then value of `sin theta ` is
Web7 mrt. 2024 · = (6 + 3 cos θ) − 3i sin θ 5 + 4 cos θ = ( 6 + 3 cos θ) - 3 i sin θ 5 + 4 cos θ ∴ x + iy = (6 + 3 cos θ) − 3i sin θ 5 + 4 cos θ ∴ x + i y = ( 6 + 3 cos θ) - 3 i sin θ 5 + 4 cos θ ⇒ x = 6 + 3 cos θ 5 + 4 cos θ, y = −3 sin θ 5 + 4 cos θ ⇒ x = 6 + 3 cos θ 5 + 4 cos θ, y = - … WebClick 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 ...
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. Web23 feb. 2024 · This gives us that. 5 s i n θ − 3 c o s θ = ± 3. Note- In these types of questions the catch is that we must square and add the equations to solve them. This method solves the equations in the fastest and easiest way, then using a simple trigonometric. formula we can easily prove the required expression.
Web17 apr. 2024 · If 3 sin θ + 5 cos θ = 5 3 sin θ + 5 cos θ = 5, then show that 5 sin θ − 3 cos θ = ± 3 5 sin θ - 3 cos θ = ± 3. class-12 trigonometric-functions Share It On 1 Answer 0 …
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 nit live bracket 2023Web30 aug. 2024 · if 3sin (theta) +4 cos (theta) =5 then find the value of 4 sin (theta) - 3 cos theta, also find sin theta and cos theta See answers Advertisement lublana Answer: Step … nit list of indiaWebIf 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 … nursery rhyme picture booksWebSolve 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. nit live stream freeWeb24 aug. 2024 · If 3 sin θ + 5 cos θ = 5 3 sin θ + 5 cos θ = 5, then show that 5 sin θ − 3 cos θ = ± 3 5 sin θ - 3 cos θ = ± 3. asked Apr 17, 2024 in Trigonometry by VaibhavNagar (93.4k points) class-12 trigonometric-functions 0 votes 1 answer nursery rhyme quiz answersWeb4 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. … nursery rhyme rain rain go awayWeb17 sep. 2024 · if ` 3 sin theta + 5 costheta = 5` then prove that `5sintheta- 3costheta` = ` 3 ` LIVE Course for free. Rated by 1 million+ students Get app now Login. Remember. Register; Test; JEE; ... If `3sintheta+5costheta=5`, then show that `5sintheta-3costheta=pm3`. asked Apr 17, 2024 in Trigonometry by VaibhavNagar (93.4k points) … nursery rhyme printable books