(a) It -S sine =4 and ee(90°:270°), determine without the use of a calculator and with the aid of a diagram the value of: (1) 5 cose-3tan e (2) 4. 3. sine cose
(a) It -S sine =4 and ee(90°:270°), determine without the use of a calculator and with the aid of a diagram the value of: (1) 5 cose-3tan e (2) 4. 3. sine cose
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 89E
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Question
Transcribed Image Text:Step 4:
Determine the value of the required exprossion by applying the definitions of the
trigonometric ration:
25 sin 0-5cos0
25
=16+3
= 19
EXERCISE l
(a)
Lt -S sine = 4 and 0e(90°:270°), determine without the use of a calculator and with the
aid of a diagram the value of:
(1)
5 cose-3 tan 0
3.
4.
(2)
sine
cos e
(b)
If 2 cos a +1=0 and sina<0, determine without the use of a calculator and with the aid of
a diagram the value of:
(1)
tan a - sin o
(2)
2 sin a- cos? a
(c)
If 3tan B =-2 and Be (0°;180°), determine without the use of a calculator and with the aid
of a diagram the value of:
(1)
cosB
(2)
2 sin B-1
(3)
V13 cosB-13sin' B
12
(d)
If sin A =
and A € (90°;270°), determiíne without the use of a calculator and with the
13
aid of a díagram the value of:
(1)
tan A
(2)
cos A- sin? A
(3)
13 cos A+5 tan A
-8
and BE(180°;360°), determine without the use of a calculator and with the
(e)
If cos B=
17
aid of a diagram the value of:
(1)
sin B
(2)
1
ban B sin B
(3)
17 sin B-8 tan B
If 2 tan a +I =0 and cosa>0, detemine without the use of a calculator and with the aid
(f)
of a diagram the value of:
(1)
V3 sina -
(2)
+ fan a
ços a
(-6k
If sine =
k+9
(g)*
0<k<3 and 0 E (90°:270°). Determine, in terms of k:
(1)
cose
(2)
tan 0+
cos e
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