cos 4x pi 3 sin x pi 4 0 Use inverse trigonometric functions to find the solutions and check for extraneous solutions A basic trigonometric equation has the form sin x a cos x a tan x a cot x a The formula to convert radians to degrees degrees radians 180
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cos 4x pi 3 sin x pi 4 0
cos 4x pi 3 sin x pi 4 0
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sin
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Houpt Annothe
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Let I xsinxcosx sin 4 x cos 4 x dx for x 0 2 Dividing numerator and denominator by cos 4 x Solve 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
Explore math with our beautiful free online graphing calculator Graph functions plot points visualize algebraic equations add sliders animate graphs and more The general solution is 24n 1 36 and 24n 7 36 n 0 1 2 3 n 0 36 0 2 and 367 2 0 The maximum value for cos theta occurs at theta 2k pi where k in mathbb Z Thus x frac pi 4 2k pi implies x frac pi 4
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You can t directly compare trig functions of different periods this way you will have to find an expression for sin 4x sin 4 x in terms of sin x sin x and cos x cos x using the double angle formula for sine twice and other trig identities as well colormegone I need to show that 0 sin4x x4 dx 3 I have already derived the result 0 sin2x x2 2 using complex analysis a result which I am supposed to start from Using a change of variable x 2x 0 sin2 2x x2 dx Now using the identity sin2 2x 4sin2x 4sin4x we obtain
The general solution for cos 4x 0 is x pi 8 pin 2 x 3pi 8 pin 2 Detailed step by step solution for cos 4x 0 Use the fact that cos x sin 2 x to your advantage Setting this up we get sin 4x sin 2 3x 4x 2 3x 2 k where k is an arbitrary integer The comes from the fact that sin x sin x which is the other angle that shares the
Cos pi 4 x Cos pi 4 x 2 cosx
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cos 4x pi 3 sin x pi 4 0 - The general solution is 24n 1 36 and 24n 7 36 n 0 1 2 3 n 0 36 0 2 and 367 2 0 The maximum value for cos theta occurs at theta 2k pi where k in mathbb Z Thus x frac pi 4 2k pi implies x frac pi 4