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If 3 tan a 4 then find sin a and cos a

WebIf 3 tan A=4, then find sin A and cos A Medium Solution Verified by Toppr Let ABC is a right angle triangle 3tanA=4 ⇒tanA= 34= ABBC By using Pythagoras theorem AC 2=AB … Web7 apr. 2024 · Now, in the question, it is given that 3 tan A = 4 sin A. Now, also we know that tan A equals the ratio of the sine function and cos A function that is tan A = sin A cos A. And, also sin A is equals to the reciprocal of trigonometric function cosec A that is sin A = 1 cos e c A. so, we can write 3 tan A = 4 sin A as, 3 tan A = 4 sin A.

If 3 tan A = 4 then find sin A and cosA - YouTube

Web28 aug. 2024 · Best answer According to the question, tan A = ¾ We know, tan A = perpendicular/ base So, tan A = 3k/4k Where, Perpendicular = 3k Base = 4k Using Pythagoras Theorem, (hypotenuse)2 = (perpendicular)2 + (base)2 (hypotenuse)2 = (3k)2+ (4k)2 = 9k2+16k2 = 25k2 hypotenuse = 5k To find sin A and cos A, Hence, proved. ← … Web20 apr. 2024 · Since you have $\sin A + 1 = 4 \cos A$, you can square both sides to yield $$ \sin^2 A + 2 \sin A + 1 = 16 \cos^2 A = 16 (1 - \sin^2 A). $$ Rearranging, we obtain $$ 17 \sin^2 A + 2 \sin A - 15 = 0 $$ which is a quadratic equation in $\sin A$ and can be solved to obtain $$ \sin A = \frac{ -2 \pm 32}{34} = \left\{ \frac{15}{17}, -1 \right\}. $$ and … chichaworm bohol https://findyourhealthstyle.com

Class 10 MCQ - If 4 tan θ = 3, then (4 sin⁡ θ - cos⁡ - teachoo

Web1 okt. 2024 · If tan θ = 3/4, then find the values of cos θ and sin θ. LIVE Course for free. Rated by 1 million+ students Get app now Login. Remember. Register; Test; JEE; NEET; Home; Q&A; ... If tan θ = 3/4, then find the values of cos θ and sin θ. trigonometry; class-10; Share It On Facebook Twitter Email. 1 Answer +1 vote . answered Oct 1 ... Web4 nov. 2024 · Solution: If we consider a right-angled triangle, it has three parts perpendicular (or height), base, and hypotenuse. In trigonometric functions, sin A= … WebIf 3 tan A = 4, then Tan A = \frac{4}{3} We know that Tan A = \frac{Sin A}{Cos A} So, Sin A = 4 and Cos A = 3. Skills you may want to recall: What are sine, cosine and tan in … chichaworm

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Category:If 4 Tan A = 3 then evaluate (4 sin A - cos A +1)/ (4 sin A + cos A

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If 3 tan a 4 then find sin a and cos a

Trigonometry: Find $\\sin \\theta$ when $\\tan \\theta$ is known.

WebTan (4)= 1.15882 All values of sine and cosine functions are calculated by using this formula that i found in the web: It was created by Bhaskara in the 7th century AD Apart … Web29 mrt. 2024 · If 4 tan θ = 3, then ((4 sin⁡ θ - cos⁡ θ)/(4 sin⁡ θ + cos⁡ θ)) is equal to (A) 2/3 (B) 1/3 (C) 1/2 (C) 3/4 Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299. Transcript. Show More. Next: Question 16 Important → Ask a doubt .

If 3 tan a 4 then find sin a and cos a

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WebPART-A Q.1 Find the number of real solution(s) of the equation logx9 – log3x2 = 3. [3] Q.2 Simplify: cos x · sin(y – z) + cos y · sin(z – x) + cos z · sin (x – y) where x, y, z R. [3] Q.3 If logx–3(2x – 3) is a meaningful quantity then find the interval in which x must lie. [3] Q.4 If x = 1 and x = 2 are solutions of the equation x3 + ax2 + bx + c = 0 and a + b = 1, then find ...

Web28 aug. 2024 · Best answer According to the question, tan A = ¾ We know, tan A = perpendicular/ base So, tan A = 3k/4k Where, Perpendicular = 3k Base = 4k Using … WebPART-A Q.1 Find the number of real solution(s) of the equation logx9 – log3x2 = 3. [3] Q.2 Simplify: cos x · sin(y – z) + cos y · sin(z – x) + cos z · sin (x – y) where x, y, z R. [3] …

Web6 jan. 2015 · Given that $\sin \phi +\cos \phi =1.2$, find $\sin^3\phi + \cos^3\phi$. My work so far: (I am replacing $\phi$ with the variable a for this) $\sin^3 a + 3\sin^2 a *\cos a + 3\sin a *\cos^2 a + \cos^3 a = 1.728$. (This comes from cubing the already given statement with 1.2 in it.) $\sin^3 a + 3\sin a * \cos a (\sin a + \cos a) + \cos^3 a = 1.728$ Web13 mrt. 2024 · If $\tan A+\sec A=e^x$, find $\cos A$ Here is what I've tried: \begin{align}&\frac{\sin A}{\cos A}+\frac{1}{\cos A}&=e^x\\ \implies&\frac{1+\sin A}{\cos A}&=e^x\end ...

Web28 mrt. 2024 · Ex 8.1, 3 If sin A = 3/4 , calculate cos A and tan A. sin A = 3/4 (𝑠𝑖𝑑𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑡𝑜 ∠𝐴)/𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 3/4 ⇒ 𝐵𝐶/𝐴𝐶 = 3/4 Let BC = 3x AC = 4x We find AB using Pythagoras Theorem Hence, using …

Web22 mrt. 2024 · Example 1Given tan A = 4/3 , find the other trigonometric ratios of the angle AGiven, tan A = 4/3 (𝑠𝑖𝑑𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒 𝐴)/(𝑠𝑖𝑑𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒 𝐴) = 4/3 𝐵𝐶/𝐴𝐵 = 4/3Let BC = 4x AB = 3x We find AC using … chichay hardware philippinesWeb10 nov. 2024 · Question 2: If tan a = 4/5 find cos a and sin a? Solution: In right angled triangle. We have tan a = 3/4. Therefore Tangent θ = Perpendicular / Base = AB / BC. … chichay hardware contact numberWeb20 okt. 2024 · If tan A = 4/3, then find the value of cos A Solution: Tan – The tan of an angle A is the ratio of lengths of perpendicular to the base. Tan A = Perpendicular / Base … chichay hardware price listWeb27 sep. 2024 · We know that in a right-angled triangle, the value of the trigonometric function tan is found by dividing perpendicular by base, sin is found by dividing perpendicular by hypotenuse and cos is found by dividing the base by hypotenuse. Now, we have tan A = 3/4. Let's take a right-angled triangle ABC that has the right angle at B. chicha y guarapoWebIf sin A = 3/4, calculate cos A and tan A Solution: We will use the basic formula of sine, cosine, and tangent functions to solve the question. Let's draw a figure according to the given question. Let ∆ABC be a right-angled triangle, right-angled at point B. Given that: sin A = 3/4 ⇒ BC/AC = 3/4 Let BC be 3k. chichay actressWeb10 nov. 2024 · We have tan a = 3/4 Therefore Tangent θ = Perpendicular / Base = AB / BC AB = 3 BC = 4 Therefore as per the Pythagoras theorem We have AC 2 = BC 2 + AB 2 AC 2 = 4 2 + 3 2 AC 2 = 16+ 9 AC 2 = 25 AC = 5 So now we have AB = 3 AC = 5 BC = 4 Now to find cos a and sin a Cosine θ = Base / Hypotenuse = BC / AC so cos a = 4/5 google map ross on wyeWeb30 jul. 2016 · 3 tan A = 4 To find: sin A =? cos A =? Solution: To find the solution we need to write the ratio in terms of trigonometry for a right-angled triangle to get the measure of … google map rt 64 from indiana to pa