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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