Well 2sinxcosx is the identity for sin2x. Our math solver supports basic math pre algebra algebra trigonometry calculus and more.
Solve your math problems using our free math solver with step by step solutions.
2sinxcosx cosx. Sub in 1 sin 2 x for cos 2 x in the denominator. Cosx 0 x pi 2 npi n in zz n an integer. Divide the numerator and denominator by cox.
You obtain cosx 2sinx 1 sinx 2sinx 1 cot. Tangent is 1 at π 4 kπ. 2x 0 k2pi where k is the number of revolutions or pi k2pi.
You may lose a root 2sinxcosx cosx 0. Divide both sides by cos2x and you get. Free pre algebra algebra trigonometry calculus geometry statistics and chemistry calculators step by step.
1 2sinxcosx cosx do not divide by cosx. Cosx 2sinx 1 0 by the zero product property. Sinx x z so 2sinx 2x z and cosx y z.
We now have. Thus you get 1 tanx 1 tanx which is of the form tan pi 4 x thus integral tan pi 4 x log cos pi 4 x. Imagine a right angled triangle with sides x y z where z is the hypotenuse and x is opposite angle x.