QUESTION 1 1.1 Determine the value of the following WITHOUT using a calculator: cos ec45 a. sin 90', tan 60 b. cos30'. tan 60° + cosec 45.sin 60

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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QUESTION 1
1.1 Determine the value of the following WITHOUT using a calculator:
(4)
cos ec45
sin 90', tan 60
(3)
b.
cos 30'. tan 60° + cosec 45.sin 60
1.2 Solve for x in each of the following:
a. 7- 5x =x2
(5)
1+ *+1 2
=D0
(5)
b.
x-2 x-1
1.3 Solve for x, correct to ONE decimal place, where 0 sx< 90:
a. tan x= 2.01
b. Scos x +2 = 4
(2)
(3)
cosecx
3D3
(3)
C.
1.3 Consider the function f(x)=-3 tanx
Sketch, on the grid provided, the graph of f for 0 Sxs 360". Clearly show all the intercepts
and asymptotes
(3)
1.3.1 Hence, or otherwise, write down the:
Period of f
a.
b. Equation of h if h is the reflection of fabout the x-axis
(1)
1.3.2
Sketched below is the graph of g(x) = a.cosb0
(1)
180
Page
165
Page
187
Page i53
Page is4 and
Dage
Transcribed Image Text:QUESTION 1 1.1 Determine the value of the following WITHOUT using a calculator: (4) cos ec45 sin 90', tan 60 (3) b. cos 30'. tan 60° + cosec 45.sin 60 1.2 Solve for x in each of the following: a. 7- 5x =x2 (5) 1+ *+1 2 =D0 (5) b. x-2 x-1 1.3 Solve for x, correct to ONE decimal place, where 0 sx< 90: a. tan x= 2.01 b. Scos x +2 = 4 (2) (3) cosecx 3D3 (3) C. 1.3 Consider the function f(x)=-3 tanx Sketch, on the grid provided, the graph of f for 0 Sxs 360". Clearly show all the intercepts and asymptotes (3) 1.3.1 Hence, or otherwise, write down the: Period of f a. b. Equation of h if h is the reflection of fabout the x-axis (1) 1.3.2 Sketched below is the graph of g(x) = a.cosb0 (1) 180 Page 165 Page 187 Page i53 Page is4 and Dage
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