e identity: cos 3x = 4 cos x-3 X So
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![000
Samsung Triple Camera
Shot with my Galaxy A50
reflex AOT-a
20
T(-1;-2)
Determine, without using a calculator, the value of each of the following:
5.1.1
tan a
5.1.2
cos a
5.1.3
cos(a +45°) in simplest form
5.2
Determine, without using a calculator, the value of the following expression:
2 sin(-20°).sin 160°- cos 40°
5.3
Consider:
3 cos x.sin x + tan x.cos (180° - x)
5.3.1
Simplify the expression to a single trigonometric ratio.
5.3.2
Hence, write down the range of:
f(x) = 3 cos x.sin x+ tan x.cos (180°-x)
cos 3x
= 4 cosx-3
5.4
Prove the identity:
Determine the general solution of x in the following equation:
5.5
2 tan x3 lan +1 = 54](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5ebec05-5e62-4fae-a885-3f0dc738ca08%2F75c6d206-ac3e-466d-8cc9-8189f826b3bf%2Fp8ieuz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:000
Samsung Triple Camera
Shot with my Galaxy A50
reflex AOT-a
20
T(-1;-2)
Determine, without using a calculator, the value of each of the following:
5.1.1
tan a
5.1.2
cos a
5.1.3
cos(a +45°) in simplest form
5.2
Determine, without using a calculator, the value of the following expression:
2 sin(-20°).sin 160°- cos 40°
5.3
Consider:
3 cos x.sin x + tan x.cos (180° - x)
5.3.1
Simplify the expression to a single trigonometric ratio.
5.3.2
Hence, write down the range of:
f(x) = 3 cos x.sin x+ tan x.cos (180°-x)
cos 3x
= 4 cosx-3
5.4
Prove the identity:
Determine the general solution of x in the following equation:
5.5
2 tan x3 lan +1 = 54
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