Using the Pythagorean identity cos2y+sin2y=1, we have:9(cos2x+sin2x)+4(cos23x+sin23x)+12(cosxcos3x+sinxsin3x)=1 Step 3: Simplify using identitiesUsing the identity cos2θ+sin2θ=1:9(1)+4(1)+12(cos(x−3x))=1This simplifies to:9+4+12cos(−2x)=1Since cos(−2x)=cos...
解析 So, using the sum identity for the sine, we have sin(+ y=sinxcosy+cosxsiny=1/3⋅4/5+(2√2)/3⋅3/5=(4+6√2)/(15)=1/(15)(4+6) 4+6v2 =- 15 (4+6√2)A = fus =8/(12)=8/(10)=(80)/(100) 9/8=(9E)/(9t)-t↑=Rugv =SO3 ...
What is sinxcosy+cosxsiny? Trigonometric Reasons Trigonometric identities are equality that links two trigonometric functions, this help to solve trigonometric problems with their already established formulas, for each trigonometric reason, there is an identity that helps to solve the exercises raised when...
(e^x siny - 2y sinx) + (e^x cosy + 2 cosx)y = 0 Determine the function f satisfying the given conditions. f'(x) = \sin(x) \cos(x), f(2\pi) = 7, f(x) = A \sin^B(x) \cos^C(x) + D, where A 0. Solve by Trigno...
Prove the identity: cos(x-y) cos y - sin(x-y) sin y = cos x Prove that sin(x + y) - sin(x - y) = 2 cos x sin y. Given that \int_{0}^{\pi /2} cos(x) \: f(2 \: sin(x)) dx = 8, then what is \int_{0}^{2} f(x) dx? What is the factored form of...