Solve sin(x)=cos(x) | Microsoft Math Solver

Solve for x

x = π n_{1} + \frac{π}{4}

n_{1} \in Z

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5 problems similar to:

sin (x) = cos (x)

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How to solve equations like

2 sin (x) = cos (x)

https://math.stackexchange.com/questions/1476944/how-to-solve-equations-like-2-sinx-cosx/1476973

One way can be using tan

\frac{x}{2} = t

\frac{2 t}{1 + t ^{2}}

\frac{1 - t ^{2}}{1 + t ^{2}}

. Here 2sin x= cos x implies

t^{2} + 4 t - 1 = 0

\frac{x}{2} = 2 \pm 5

.Hence the answer of ...

How do you solve

1 + sin (x) = cos (x)

https://socratic.org/questions/how-do-you-solve-1-sin-x-cos-x

x = 0

1 + sin (x) = cos (x) or cos x - sin x = 1

. Squaring both sides we get

(cos x - sin x)^{2} = 1 or cos^{2} x + sin^{2} x - 2 sin x cos x = 1 or 1 - sin 2 x = 1 or sin 2 x = 0 = sin 0;

How do you show that the equation

1 - sin x = cos x

is not an identity?

https://socratic.org/questions/how-do-you-show-that-the-equation-1-sinx-cosx-is-not-an-identity

Bdub Nov 12, 2016 Pick a value for x like

\frac{π}{3}

and plug it in to both side to show that they don't equal each other and therefore not an identity

Trigonometric equation

sin 2 x = cos x

https://math.stackexchange.com/questions/3008492/trigonometric-equation-sin2x-cos-x

As @Nicholas Stull hinted, you lost solutions by not making sure that you were not dividing by zero. As @Winther pointed out, you can avoid this error by factoring. As @Nicholas Stull pointed out, ...

sin (x) = 3 cos (x)

sin (x) * cos (x)

https://math.stackexchange.com/questions/2685713/if-sinx-3-cosx-compute-sinx-cosx

tan (x) = 3

Draw a right angle triangle where

x

is one of the angle, let the opposite side be of length

3

, let the adjacent side be of length one. Then by Pythagoras Theorem, the ...

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