ANSWER ALL THE FOLLOWING QUESTIONS BELOW SCH QUESTION 1 LI If sin 58° = k, determine, without the use of a calculator: sin 238° J.1.2 cos 58° U1-12 1.2 Simplify, without the use of a calculator:
ANSWER ALL THE FOLLOWING QUESTIONS BELOW SCH QUESTION 1 LI If sin 58° = k, determine, without the use of a calculator: sin 238° J.1.2 cos 58° U1-12 1.2 Simplify, without the use of a calculator:
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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![ANSWER ALL THE FOLLOWING QUESTIONS BELOW
SCH CAH
QUESTION 1
1.1
If sin 58° = k, determine, without the use of a calculator:
L.I.I
sin 238°
(2)
J.1.2
cos 58°
(2)
い-ヒと
1.2
Simplify, without the use of a calculator:
tan 150°. sin 300°. sin 10°
2-a2 +42
cos 225°. sin 135°. cos 80°
(7)
1.3
Given cos (a Als B) = cos a cos B + sin a sin B
U1-ト-
Use the formula for cos(a + B) to derive a formula for sin(a + B).
(4)
Prove the identity:
cos 2x + 1
1
1.4
sin 2x. tan x
tan? x
(5)
(20]
QUESTION 2
V15
and 0° < 2x < 90°.
2.1
Given: sin 2x =
Determine with the aid of a diagram and without using a calculator the value of cos x.
(5)
2.2
Simplify the following expression to one trigonometric ratio of 0:
sin(180° – 0).sin(540° – 0). cos(0- 90°)
tan(-0). sin2(360° – 0)
(7)
sin 5x.cos 3x.-cos 5x.sin 3x
2.3
Given the identity:
-1 = -2 sin² x.
tan 2x
2.3.1
Prove the above identity.
(4)
For which value(s) of x will the above identity be undefined for 0° <x < 180°.
(4)
[20
2.3.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ef5a3af-91ee-4897-a4fb-6fb27ea3430d%2F1d5be9d9-93aa-44ad-9e22-bbc1c7eee0e3%2Fq9zu8kd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ANSWER ALL THE FOLLOWING QUESTIONS BELOW
SCH CAH
QUESTION 1
1.1
If sin 58° = k, determine, without the use of a calculator:
L.I.I
sin 238°
(2)
J.1.2
cos 58°
(2)
い-ヒと
1.2
Simplify, without the use of a calculator:
tan 150°. sin 300°. sin 10°
2-a2 +42
cos 225°. sin 135°. cos 80°
(7)
1.3
Given cos (a Als B) = cos a cos B + sin a sin B
U1-ト-
Use the formula for cos(a + B) to derive a formula for sin(a + B).
(4)
Prove the identity:
cos 2x + 1
1
1.4
sin 2x. tan x
tan? x
(5)
(20]
QUESTION 2
V15
and 0° < 2x < 90°.
2.1
Given: sin 2x =
Determine with the aid of a diagram and without using a calculator the value of cos x.
(5)
2.2
Simplify the following expression to one trigonometric ratio of 0:
sin(180° – 0).sin(540° – 0). cos(0- 90°)
tan(-0). sin2(360° – 0)
(7)
sin 5x.cos 3x.-cos 5x.sin 3x
2.3
Given the identity:
-1 = -2 sin² x.
tan 2x
2.3.1
Prove the above identity.
(4)
For which value(s) of x will the above identity be undefined for 0° <x < 180°.
(4)
[20
2.3.2
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