2. Find the remaining trigonometric ratios if sec 0 = -3.5 and is in second quadrant.
2. Find the remaining trigonometric ratios if sec 0 = -3.5 and is in second quadrant.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![2. Find the remaining trigonometric ratios if sec=-3.5 and is in second quadrant.
3. Prove the following trigonometric identities:
(a) tan x-tan y=-
sin(x - y)
cos x cos y
272x-7
9.x-5
(a)
7. Solve:
(b)
(b) 4x+6
4. Find all values of x in the interval [0, 27] that satisfy the equation:
(a) 1+tan x = sec² x
(b) sin 4x = cos 2x
e2x
5. Find the inverse function of y=-
1+ e ²x
6. Simplify (reduce to a single exponential function):
COS X
1-sin x
.83-2x
COS X
1+ sin x
= 2 tan x (c) 2 csc(2x) = tan x + cotx
+8e²x
(c) 1+ sin x = cos x
(c) (2¹)*. (42-3x)5
24x-5-73x+8
(a)
(b) e 4x
-33=0 (c) e³x-12
8. Find og and go f for f(x) = 5√x³8x+13 and g(x) = 2 tan(6x − 1) + 3.
x² +6x³ = x² + 7x-3
x² - 2x
= 27 (d) 2lnx-In(4x-5) = 1.
9. Divide the polynomials
10. Find the vertex, focus, and directrix of the parabola y² +4y=x+5= 0 and sketch it.
11. Find an equation of a parabola with focus (2,2) and vertex (2,3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44fc33fa-f0a7-4f0d-8fd2-501707f936b1%2F181bf089-b55c-4406-8e29-987ab15116ce%2Fo9xl0ux_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Find the remaining trigonometric ratios if sec=-3.5 and is in second quadrant.
3. Prove the following trigonometric identities:
(a) tan x-tan y=-
sin(x - y)
cos x cos y
272x-7
9.x-5
(a)
7. Solve:
(b)
(b) 4x+6
4. Find all values of x in the interval [0, 27] that satisfy the equation:
(a) 1+tan x = sec² x
(b) sin 4x = cos 2x
e2x
5. Find the inverse function of y=-
1+ e ²x
6. Simplify (reduce to a single exponential function):
COS X
1-sin x
.83-2x
COS X
1+ sin x
= 2 tan x (c) 2 csc(2x) = tan x + cotx
+8e²x
(c) 1+ sin x = cos x
(c) (2¹)*. (42-3x)5
24x-5-73x+8
(a)
(b) e 4x
-33=0 (c) e³x-12
8. Find og and go f for f(x) = 5√x³8x+13 and g(x) = 2 tan(6x − 1) + 3.
x² +6x³ = x² + 7x-3
x² - 2x
= 27 (d) 2lnx-In(4x-5) = 1.
9. Divide the polynomials
10. Find the vertex, focus, and directrix of the parabola y² +4y=x+5= 0 and sketch it.
11. Find an equation of a parabola with focus (2,2) and vertex (2,3).
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