1) Allow f(x) = x3, and g(x) = 2x. Determine f(g(1)).
2) Enter the formula for a sine function with an amplitude of 5, a period of 90 degrees, a shift of 45 degrees to the right and 3 units upwards.
Determine the exact value of the expression sin (v) + cos (v) given that tan (v) = 7/3.
3) Solve the equations in the range 180≤x≤360 degrees. Answer with one decimal.
a) tan (x) = 3.2 (I would like a full solution for this, please)
b) sin (x) = 1.6
1) Allow f(x) = x3, and g(x) = 2x. Determine f(g(1)). 2) Enter the formula for...
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 -...
2-6 Find the exact values of the sine, cosine, and tangent of the angle 165º = 135° + 30° sin(165°) = COS(1650) = tan(165°) = 3. -/16.7 points LARPCALC105.5.017. Use a double-angle formula to rewrite the expression, 18 cos? x - 9 Write the expression as the sine, cosine, or tangent of an angle. sin 60° cos 5° + cos 60° sin 5° 5. -16.66 points LARPCALC10 5.5.025. Rewrite 2 cos 4x in terms of cos x. 6. - 16.66...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
please type up a clear explination for how to do these and explain what the unit circle is. hw due at 12 tonight. thank you! Graph the function. y 3 tan (2x-x) Choose the correct graph of y 3 tan (2x-x). O A. OB. O C. t/2 A 6- /2 4y 6- 6- 3/4 3s/4 /4 5/4 g/4 5x/4 Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. tan 8 tan...
Determine the global extrema of f(x) = 2 cos x + sin 2x on [0, 1]. . 4x Determine the global extrema of g(x) = - 24 on [0, 2] Determine the global extrema of f(x) = In(x2 + 2) on (–1, 2]
Q1 solve the following equation for the angle between 0 - 360 (6 Marks) (a) 6sin (x) = 4cos (x) (b) 15sin+ sine = 2 (4 Marks) Q2: The curve shown in the figure below is part of the graph of the function, f(x) = 2 + sin (2x), where x is measured in degrees. -T80-150-1209060 300 0.5 30 60 90 120 $0 180 20 240 (0) Find the period Find the amplitude Find the vertical shift (IV) If the...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Use the following information to determine tan(2x). sin(x) 2 and cos(x) is positive y6
please answer 1,2 and 3! 1. 2. 3. Verify that the equation is an identity. (Hint: sin 2x = sin (x + x)) sin 2x = 2 sin x cOS X Substitute 2x = x + x and apply the sine of a sum identity. sin 2x = sin (x + x) (Do not simplify.) Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s + t. 3 12 and sint=...