Transcribed Image Text:A 1. Express as a single trigonometric function.
(a) cos 2a cos a sin 2a sin a (b) cos x cos 4x + sin x sin 4x
(c) sin 5 cos 2- cos 5 sin 2
(d) sin 2m cos m + cos 2m sin m
tan 2a + tan 3a
(e)
(g)
(i)
1-tan 2a tan 3a
cos² x sin² x
tan x + tan x
1- tan² x
2. Evaluate using formulas developed in this section.
13-2
B (a) sin
(b) cos
12
5. If x is in the interval
12
اکار
(e) sin 75°
3. Find the value of each of the following.
(a) sin(-)
cos x = -and tan y =
(a) sin(x + y)
(b)
a sin
4. If x and y are in the interval (0.7) and sinx=and cos y =
evaluate each of the following.
(a) sin(x - y)
(f)
(h)
()
- sin
(c) cos[
(b) cos(x + y)
TT
Use the identity tan =
(e) cos
(g) sin(x
cos(-7-7)(c)
6. Find the exact value of each of the following.
(a) sin 50° cos 20°
cos 50° sin 20°
म 4T
(b) cos Cos
4T
21
21
tan 7° + tan 8°
1 tan 7° tan 8°
STT
5T
COS
36 18
tan 7-tan 9
1+tan 7 tan 9
sin a cos ca+ cos a sin a
cos¹ 2+ sin² 2
(d) tan(-2)
(f) cos(-15°)
sin
and y is in the interval
, evaluate each of the following.
cos(x - y) (c) tan(x - y)
+ cos sin
5T
5T
36 18
Use the Addition Formula for Sine to prove the Subtraction Formula
for Sine, namely, sin(a - b) = sin a cos b- cos a sin b.
sin e
10. Prove each of the following.
(a) sin(+ x) = -sin x
13T
2
+ x) = sin x
cos e
Tangent, namely tan(a - b) =
(c) tan(x + y)
+ x) = -sin x
TT) = -sin x
Use the Addition Formula for Tangent to prove the Subtraction
Formula for Tangent.
to prove the Subtraction Formula for
tan a tan b
1+tan a tan b
and
(b) tan(2-x) = -tan x
/3TT
(d) sin
T
+
=-COS X
(f) tan
(h) -tan(-x- π) = tan x
=-cot x
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
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