6.1 Ratio and Trigo Func

CHAPTER 6
RATIOs AND GRAPHS
of trigonometric functions

6.1 The Value of Sine, Cosine and Tangent for Angle , ° < < °

LEARNING STANDARDS

Make and verify conjecture 01 Determine the value of sine,
about the value of sine, cosine 03
02 cosine and tangent for angles
and tangent for angles in in quadrants II, III and IV
quadrants II, III and IV with based on the corresponding
the corresponding reference reference angle.

angle 04 Solve problems involving
sine, cosine and tangent.
Determine the angle when
the value of sine, cosine and
tangent are given.

01

UNIT
CIRCLE

90° < < 180° 0° < < 90°
180° < < 270° 270° < < 360°

CORRESPONDING REFERENCE ANGLE

° ° ° °
. ° . ° . ° . °
° ′ ° ′ ° ′ ° ′

TRIGONOMETRIC FUNCTIONS FOR QUADRANTS IN UNIT CIRCLE

S A
ALI
SUKA

TENGOK T C CARTOON



SELF PRACTICE 6.1a

a) sin(180 −101) b) − cos(194 −180) c) tan(246 −180)
= sin 79 = −kos14 = tan 66
= 2.246
= 0.982 = −0.970

SELF PRACTICE 6.1a

NISBAH TRIGONOMETRI SUDUT KHAS

1. Determine the values, without using calculator

a) tan 120°
tan120 = − tan(180 −120)

= − tan 60

=− 3
a) sin 315°

sin 315 = − sin(360 − 315)
= − sin 45

=− 1
2

2. Given cos = 3 , find the value of tan and sin without using calculator
2

02 DETERMINE ANGLE
Given the value of sin, cos and tangent of the
angles.



EXAMPLES

Given 0° ≤ ≤ 360°, Calculate the value of for the following.

a) sin = 0.9205 sin−1 0.9205 = 66.9993

sin positive :  = 67,113 180 − 67 S A/S
quadrant I and II T C/K
b) = −0.4067 cos−1 0.4067 = 66.0023

cos negative:  = 114, 246 180 + 66
quadrant II and III
180 − 66
c) tan = −0.6249
tan−1 0.6249 = 32.0013
tan negative:
quadrant II and IV  = 148,328 360 − 32

180 − 32

03 PROBLEM
SOLVING



SOALAN PERCUBAAN SPM 2020

Tasks

Self Practice 6.1e (Textbook)
Modul Nilam PAK 21
page 123-130

ADA USAHA ADA HASIL
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