Rewrite cot (cos-'v) as an algebraic expression in v. cot (cos 'v) = 0 x 6...
For the following exercises, rewrite each expression such that the argument x is positive. cot (-x) cos(-x) + sin(-x) right tr For the following exercises, let f(x) = cos x. On [0, 2 ),solve f(x) = . On [0, 21 ), find the x-intercepts of f(x) = cos x. For the following exercises, find the angle o in the given right triangle.
cos(O) cot(0) = csc(O) – sin(e) Rewrite cotangent in terms of sine and cosine: cos(O) cot(O) = cos(0) · Rewrite as a single fraction: Use a Pythagorean identity: sin(0) Finally, separate the fraction into two: sin(e) sin(e) = csc(0) – sin(0)
8) Rewrite the expression as an algebraic expression in terms of x. sec(sin ' x)
Write the given expression as an algebraic expression in x. cos(2 tan-1(x))
EXAMPLE 6 Calculate lim x cot(x). x 0 SOLUTION uling x cot(x) = _ Here we divide numerator and denominator by x: _x cos(x) _ x cot(x) = lim x 0 lim X - 0 , - cos(x) = lim X 0 lim cos(x) x → 0 lim 1. XOX cos(0) (by the continuity of cosine and this equation)
Write the expression as an algebraic (nontrigonometric) expression in u, u> 0. cos (arctanu) cos (arctan u) = 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) The following function approximates the average monthly temperature y (in °F) in a city. Here x represents the month, where x= 1 corresponds to January, x=2 corresponds to February, and so on. Complete parts (a) (b). flx) = 11 sin [«- 49]+50...
Enter a simplified algebraic expression for the expression. sin cos (A))
2 Write the given algebraic expression as a function of e, where 0 <e< by using the substitution given: a) x = 6 cos in 36 - x2 b) x = 2 tane in Vx2 + 4
Evaluate or simplify the given expression. Cos (cot-1 x) xWx2+ + 1 X + 1 VX2+1 O VX2 - 1 VX2 - 1 Х
Rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completing the square. x2 + 6x + 10 Need Help? Ras 10 1.4 062 Use the di ant to determine the number of real solutions of the quadratic equation 7x2-3x +1 0 O Type here to search