How to simplify sin 4x
WebSubjects Mechanical Electrical Engineering Civil Engineering Chemical Engineering Electronics and Communication Engineering Mathematics Physics Chemistry WebNov 2, 2024 · Simplify: y = sin 4x × cos4x Solution: y = 1/2 sin (8 x) y = 1/4 i e (-8 i x) – 1/4 i e (8 i x) y = 4 sin (x) cos 7 (x) – 28 sin 3 (x) cos 5 (x) + 28 sin 5 (x) cos 3 (x) – 4 sin 7 (x) cos (x) y = 16 sin (π/4 – 2 x) sin (π/4 – x) sin (x) sin (x + π/4) sin (2x + π/4) cos (x) Sample Problems Question 1: Are the algebraic expressions polynomials?
How to simplify sin 4x
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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. WebTo simplify a trigonometric equation, we need to convert it to another simpler form so that it has the fewest trigonometric functions and the simpler algebraic expresion. Generally, we write the...
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Web2. Rearrange both: sin^2x=1-cos^2x and cos^2x=cos2x+sin^2x 3. Substitute cos2x+sin^2x into sin^2x=1-cos^2x for cos^2x 4. Expand: sin^2x=1-cos2x-sin^2x 5. Add sin^2x to both … WebSimplify the expression sin 4 (x) – cos 4 (x) using the power-reducing identities. Solution Simplify the expression by reducing the expression into square powers. sin 4 (x) – cos 4 (x) = (sin 2 (x) – cos 2 (x)) (sin 2 (x) + cos 2 (x)) sin 4 (x) – cos 4 (x) = - (cos 2 (x) – sin 2 (x)) Apply the double angle identity for cosine.
WebDomain of the function f (x) = tanxsinx Explanation: The common period, or domain, of a trig function F (x), containing 2 trig functions f (x) ... How do you find the limit of tan(5x)sin(4x) as x approaches 0? Use Algebra, trigonometry and the fundamental trigonometric limit. Explanation: θ→0lim θsinθ = 1 We can use this to find x→0lim ...
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