-1 -1 d. + = = 2 tan x tan x-sec x tan x + secx
Evaluate lim x→0 [(sin(tan x) − tan(sin x))/x^7?]
[sin(tan x) – tan(sin x) 1.2.15 Evaluate lim x 0 7
0 tan x 2 -X 0 -1 tan x
a+b Cos x If tan () Q.9 tan tan tan then find the value of 0.
1. Determine whether each statement is True or False. o tan(x)=tan(-x) for all x in the domain of tan(x) o The range of tan(x) is all real numbers o The graph y=tan(2x) has period pi o The domain of tan(x) is all real numbers
Taking the derivative of x tan x and using the fact that tan x = (ln sec x) 0 allows us to anti-differentiate a certain function. What function is it?
z1(x) = 2x2 + tan x, z2(x) = x2 − 2x + tan x, z3(x) = x2 − 3x + tan x are solutions of a second order, linear nonhomogeneous equation L[y] = f (x). (a) Give a fundamental set of solutions of the corresponding reduced equation L[y] = 0. (b) Give the general solution of the nonhomogeneous equation L[y] = f (x).
Verify that the equation is an identity. tan 4x - secºx = -2 tan ?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose each step. Factor the tan "x-secºx = »(tan?x + sec sec?x) difference of two squares tan?X + 2 tan x sec X + sec? = (Тут Apply a Pythagorean identity. tan?X + sec? tan?x-2 tan x sec X + sec?x Choose an identity, ar fy....
verify algebraically
cos(-x) -= sec x + tan x 1+ sin(-x) tan x + cotx=sec X CSC X
question 47 and 48 please. Thanks
43. tan” x - 2 tan x = 0 44. 2 tan” x - 3 tan x = -1 45. tan- 0 + tan 0 - 6 = 0 46. sec? x + 6 tan x + 4 = 0 2.4 Evaluating Trigonometric Functions in Exercises 47-50, find the exact values of the sine, cosine and tangent of the angle. 47. 75º = 120° - 45° 48. 375º = 135° + 240° 402511 -...