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Chapter 9B: Applied Trig Functions
Part II Examples of Double, Half, Sum & Difference formula questions
Show all work, including blank formulas and all reasonable work. Finish for homework. Check answers
online.
1.
If
, what is the value of
2.
If x is an acute angle and
3.
If
4.
If x is a positive acute angle and
5.
If
where
6.
If
is in Quadrant II and
?
, then
is an acute angle such that
7.
and
equals
, what is the value of
, what is
?
?
, what is the value of
?
, find an exact value for
.
is in Quadrant I. Find, in simplest form, the value of
8.
If
, what is the positive value of
9.
If
10.
If sin 𝐴 = 5 find the value of
11.
12.
13.
14.
15.
16.
Express
Find the exact value of
Find the exact value of
Find the exact value of
What is the value of
The value of
17.
If A and B are positive acute angles,
18.
If
19.
If
20.
If A and B are both acute angles,
21.
If
22.
23.
24.
25.
26.
27.
28.
The expression
is equivalent to
The expression
is equivalent to
The expression
is equivalent to
The expression
is equivalent to
Find the exact value of cos 165°
Find the exact value of tan 105°
Find the exact value of sin 255°
and
.
?
1
, and x is an angle in Quadrant II, find cos 2 𝑥.
3
,
.
as a single trigonometric function of a positive acute angle.
?
is
, and
, what is the value of
, and x and y are acute angles, the value of
,
is
, and angles A and B are acute angles, what is the value of
and
, then
and
equals
, then
?
is
?