Rewritesec(x)cos(x) sec ( x) cos ( x) in terms of sines and cosines. 1 cos(x) cos(x) 1 cos ( x) cos ( x) Cancel the common factors. 1 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Forcos 3pi, the angle 3pi lies on the negative x-axis. Thus, cos 3pi value = -1 Since the cosine function is a periodic function, we can represent cos 3pi as, cos 3pi = cos(3pi + n Γ 2pi), n β Z. β cos 3pi = cos 5pi = cos 7pi , and so on. Note: Since, cosine is an even function, the value of cos(-3pi) = cos(3pi). Methods to Find Value of
Getthe Free Answr app. Click a picture with our app and get instant verified solutions. Click hereπto get an answer to your question οΈ int e^x ( 1 - sinx/1 - cosx ) dx =.
Algebra Divide (x^2-y^2)/ (x-y) x2 β y2 x β y x 2 - y 2 x - y. Since both terms are perfect squares, factor using the difference of squares formula, a2 βb2 = (a+b)(aβb) a 2 - b 2 = ( a + b) ( a - b) where a = x a = x and b = y b = y. (x+y)(x βy) xβy ( x + y) ( x - y) x - y. Cancel the common factor of xβy x - y. Tap for more
cos(x) = β2 2 cos ( x) = 2 2. Take the inverse cosine of both sides of the equation to extract x x from inside the cosine. x = arccos( β2 2) x = arccos ( 2 2) Simplify the right side. Tap for more steps x = Ο 4 x = Ο 4. The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract thecosx)sin(x) + sin(x)cos(x) = sin(2x) But since we multiplied by 2 early on to get to that, we need to divide by two to make the equality, so cos(x)sin(x) = sin(2x) 2 ; Which is the reciprocal of sine x and cos x? These are trigonometric ratios. Sine x = sin x = Opposite side/hypotenuse. Cosine x = cos x = Adjacent side/hypotenuse.