If cos a + cos2 a 1 then sin2a + sin4a
Web23 nov. 2016 · This question do not have a particular solution. Like if we take A=45 degree and B=45 degree , then equation Sin2A +Cos2B =1 satisfies. And we get value of Cos2A + Sin2B =1 But if we take A= π/12 and B=π/6, then equation Sin2A +Cos2B =1 satisfies. And we get value of Cos2A + Sin2B =√3 WebGiven: sin A + sin 2 A = 1. sin A = 1 – sin 2 A. sin A = cos 2 A .... (i) Squaring both sides. sin 2 A = cos 4 A ..... (ii) Add equations (i) and (ii) sin A + sin 2 A = cos 2 A + cos 4 A = 1.
If cos a + cos2 a 1 then sin2a + sin4a
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Webcos A + cos 2 A = 1 ⇒ 1 - cos 2 A = cos A So, sin 2 A + sin 4 A = sin 2 A + sin 2 A sin 2 A = sin 2 A + ( 1 - cos 2 A) ( 1 - cos 2 A) = sin 2 A + cos A cos A = sin 2 A + cos 2 A = 1 … WebIf sin A+sin2A=1, then cos2 A+cos4 A=? A 0 B 1 C 2 D 3 Solution The correct option is B 1 We have, sin A+sin2A=1 ⇒ sin A=1−sin2A ⇒ sin A=cos2 A−−−(i) Squaring both sides, ⇒ sin2 A=cos4 A−−−(ii) From equations (i) and (ii), we have cos2 A+cos4 A=sin A+sin2 A=1 Suggest Corrections 0 Similar questions Q. If sin A+sin2A=1, then cos2 A+cos4 A=? Q.
Web`cos^2A+cos^2A=2cos^2A` `2cos^2A=2cos^2A` Since left side simplifies to `2cos^2A` which is the same term with the right side, hence it proves that the given equation is an … WebHello Student, please find the solution: Cos A+Cos 2 A=1 => cosA = 1 – cos 2 A = sin 2 A So, Required is sin 2 A + sin 4 A = Cos A+Cos 2 A =1 I hope the solution is clear Thanks.
Web29 nov. 2024 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ... WebCos A+Cos 2 A=1 => cosA = 1 – cos 2 A = sin 2 A So, Required is sin 2 A + sin 4 A = Cos A+Cos 2 A =1 I hope the solution is clear Thanks.
WebProve that, sin 2 A + cos 2 A = 1 Solution Step 1. Find out sin A and cos A Let ∆ A B C be right-angle triangle where A B = p, B C = q a n d A C = r. In the right-angle triangle ∆ A B C , sin A = Perpendicular Hypotenuse ⇒ sin A = B C A C ⇒ sin A = q r And, cos A = Base Hypotenuse ⇒ cos A = A B A C ⇒ cos A = p r Step 2.
Web22 mrt. 2024 · Question 12 If sin A + sin2 A = 1, then the value of the expression (cos2 A + cos4 A) is (A) 1 (B) 1/2 (C) 2 (D) 3 Given sin A + sin2 A = 1 sin A = 1 − sin2 A sin A = cos2 A Now, cos2 A + cos4 A = cos2 A + (cos2 A) 2 Putting cos2 A = sin A = sin A + sin2 A Given sin A + sin2 A = 1 = 1 So, the correct answer is (A) nutrichef stainless steel mixing bowl setWebAssertion (A): If cos A + cos2A = 1 then sin2A + sin4A = 2 Reason (R): 1 – sin 2 A = cos 2 A, for any value of A Both (A) and (R) are true and (R) is the correct explanation of (A) Both (A) and (R) are true but (R) is not the correct explanation of (A) (A) is true but (R) is false (A) is false but (R) is true SHOW ANSWER 206. nutrichef stackable pots and pans setWeb20 dec. 2016 · There’s a very cool second proof of these formulas, using Sawyer’s marvelous idea.Also, there’s an easy way to find functions of higher multiples: 3A, 4A, and so on. Tangent of a Double Angle. To get the formula for tan 2A, you can either start with equation 50 and put B = A to get tan(A + A), or use equation 59 for sin 2A / cos 2A and … nutrichef stock potWebTry This: If cosA + cos 2 A = 1, then the value of the expression (cos A/sin 2 A) is. Given, cosA + cos 2 A = 1. It can be written as. cos A = 1 - cos 2 A ….. (1) We have to find the value of the expression (cos A/sin 2 A) Using the trigonometric identities, sin 2 A = 1 - cos 2 A …. (2) From both the equations. cos A = sin 2 A. Now, cos A ... nutrichef stainless steel stockpotWebCorrect option is A) cosA+cos 2A=1. cosA=1−cos 2A. cosA=sin 2A. Hence. sin 4A+sin 2A. cos 2A+cosA. =1. Hence True. nutrichef small wine coolerWebIf cosA + cos2A = 1, then sin2A + sin4A= 1. - Mathematics. Advertisement Remove all ads. Advertisement Remove all ads. Loaded 0%. MCQ. True or False. If cosA + cos 2 A … nutrichef thermometer instructionsWeb25 sep. 2024 · Assertion and Reason Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both … nutrichef soup pot