# Answer to Question #5386 in Trigonometry for Akhtar Rasool khan

Question #5386

Hello Expert Sir pease help me and send the answer of the following answer.

where sine and cosine curve meet

where sine and cosine curve meet

Expert's answer

Let's solve equation sinx = cosx. As we can see, the equation is linear, in sin x and cos x. The way of solving this kind of equation is to divide entire equation with "cos x".

(sin x / cos x) - 1 = 0

Instead of the ratio "sin x / cos x', we'll use the resulting function, tg x.

The obtained equation is an elementary equation.

tg x - 1 = 0

tg x = 1

x= arctg 1 +k*pi

So, x= pi/4 + k*pi.

(sin x / cos x) - 1 = 0

Instead of the ratio "sin x / cos x', we'll use the resulting function, tg x.

The obtained equation is an elementary equation.

tg x - 1 = 0

tg x = 1

x= arctg 1 +k*pi

So, x= pi/4 + k*pi.

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