8. Graph the function f(x) = cos (r) and g(r) = cos (2r – 7). COS %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve #8
1. Point P( – E,) is on the unit circle. Find the six trig functions evaluated at t.
Pl-
(1,0)
2. A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the base of the
monument and looking to the top, find the angle of elevation to the nearest degree.
3. Find the missing side of the triangle
13 m
a
34°
C
4. Convert
7T
to degrees.
5. Convert 130° to radians.
6. Suppose that 5 < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.
7. Suppose you need to find the height of a tall building. Standing 20 meters from the base of the building, you aim
a laser pointer at the closest part of the top of the building. You measure that the laser pointer is 4° tilted from
pointing straight up. The laser pointer is held 2 meters above the ground. How tall is the building?
8. Graph the function f(x) = cos (x) and g(x) = cos (2x – 7).
9. Graph the function f(x) = sin (x) and g(x) = -2 sin (x + 7).
10. Evaluate.
(d) sin-1 ()
(e) sin-' (sin (7))
(f) sin-' (cos ()
-1
(a) sin
(0)
(b) cos-1 (-3)
(c) tan-1 (1)
Transcribed Image Text:1. Point P( – E,) is on the unit circle. Find the six trig functions evaluated at t. Pl- (1,0) 2. A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the base of the monument and looking to the top, find the angle of elevation to the nearest degree. 3. Find the missing side of the triangle 13 m a 34° C 4. Convert 7T to degrees. 5. Convert 130° to radians. 6. Suppose that 5 < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0. 7. Suppose you need to find the height of a tall building. Standing 20 meters from the base of the building, you aim a laser pointer at the closest part of the top of the building. You measure that the laser pointer is 4° tilted from pointing straight up. The laser pointer is held 2 meters above the ground. How tall is the building? 8. Graph the function f(x) = cos (x) and g(x) = cos (2x – 7). 9. Graph the function f(x) = sin (x) and g(x) = -2 sin (x + 7). 10. Evaluate. (d) sin-1 () (e) sin-' (sin (7)) (f) sin-' (cos () -1 (a) sin (0) (b) cos-1 (-3) (c) tan-1 (1)
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