15. Using that sin' (2) = cos(x), cos' (2) = - sin() show that arccot (0)...
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
4. Show that the value of | cos(x)dx cannot be 2. 0 sin(x))
For cos x cos 3x – sin x sin 3x = 0, use an addition or subtraction formula to simplify the equation and then find all solutions of the equation in the interval x (0,7). The answer is 21 22 = 23 = and 14 with xi < 22 <<3 < 24.
USING MATLAB please show all commands (sin x + cos x)^2 = 1 + 2sin xcos x (b) 1 - 2cos x - 3cos^2 x/sin^2 x = 1 - 3cos x/1 - cos x For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation, substituting x=20 degree.
17. DETAILS 0/1 Submissions Used Verify the identity. (sin(x) + cos(x))2 = 2 cos(x) sin(x) + 1
If sin(x) = and cos(x) < 0 and 0 (5) and sin⑨ x < 2T. determine the exact value of cos If sin(x) = and cos(x)
2. Solve the given trigonometric equation using Pythagorian Identities, cos? 0 + sin? 0 = 1, 1+tan? 0 = sec, cot? 0+1 = csc 0. (a) 1 - 2 sin’x = cos r. (b) 4 sin’t - 5 sin x - 2 cos” x = 2. (c) 2 tang - 2 sec1+1= = tan”.
Find the exact value of the expression cos(sin If sin = sin 2 15 find the exact value of cos(20) Solve sin 2x = cos 2x, where 0 <x<21.
(1 point) Simplify each expression. sin(x) + sin(-2) = sin(20) sin(-x) + cos(-2) cos(x) cos(x) + cos(-x) = Note: You can earn partial credit on this problem. Entered Answer Preview
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0 = 2 csc 0. Which of the following shows the key steps in establishing the identity? 1 - cos e sin 0 ОА. + sin e 1 cos e 1 - cos e B + sin e 1 - cos 0 sin e (1 - cos 0)2 + sine 2 = 2 csc 6 sin 0(1 - cos ) cOS (1 - cos 02...