Similar Triangles, Right Triangles, And The Definition Of The Sine, Cosine And Tangent Functions Of Angles Of A Right Triangle Worksheets With Answer Key Page 41

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θ
θ
θ
θ
θ
4
2
2
2
2
2
4
118. cot
+ 2cot
+ 1 = (cot
+ 1)
= (csc
)
= csc
θ
(
)
2
sin
θ
θ
 
 
θ
θ
θ
+
=
+
=
+
=
2
2
2
2
2
119.
1
tan
cos
1
cos
cos
sin
1
θ
2
cos
θ
θ
θ
θ
θ
θ
2
2
3
120. sin
- sin
cos
= sin
(1 - cos
) = sin
θ
(
)
1
cos
θ
θ
θ
θ
θ
θ
+
=
+
=
+
=
+
121.
csc
(cos
sin
)
cos
sin
1
cot
1
θ
θ
sin
sin
(
) (
)
θ
θ
−
−
+
−
1
1
sin
1
sin
1
2
θ
−
=
=
=
2
122.
2
sec
θ
θ
θ
θ
+
−
−
−
2
2
sin
1
sin
1
sin
1
cos
θ
θ
θ
θ
+
−
+
−
2
2
1
sin
cos
sin
1
cos
1
1
+
=
=
=
123.
0
(
)
(
)
θ
θ
θ
θ
θ
θ
−
−
−
cos
sin
1
cos
sin
1
cos
sin
1
1
1
1
1
θ
θ
=
=
=
=
(
)
124.
cos
sin
θ
θ
θ
θ
+
θ
θ
+
2
2
cos
sin
1
cot
tan
cos
sin
+
θ
θ
θ
θ
θ
θ
sin
cos
cos
sin
cos
sin
(
)
θ
θ
θ
θ
θ
θ
+
−
−
2
2
2
2
(
)
1
sin
1
sin
sec
1
sin
sec
cos
1
θ
θ
θ
+
=
⋅
⋅
=
=
=
2
2
125.
sec
1
sin
sec
θ
θ
θ
θ
−
−
−
−
1
1
sin
1
sin
1
sin
1
sin
θ
θ
(
)
sin
cos
θ
θ
θ
θ
θ
θ
θ
θ
+
=
+
=
+
=
2
2
126.
cos
sin
tan
cot
cos
sin
sin
cos
1
θ
θ
cos
sin
θ
θ
θ
θ
−
−
1
1
sec
tan
sec
tan
θ
θ
=
⋅
=
=
−
127.
sec
tan
θ
θ
θ
θ
θ
θ
+
+
−
θ
θ
−
2
2
sec
tan
sec
tan
sec
tan
sec
tan
(
)
θ
θ
θ
θ
θ
θ
+
−
−
2
2
csc
cot
csc
cot
csc
cot
1
θ
θ
+
=
⋅
=
=
128.
csc
cot
θ
θ
θ
θ
θ
θ
−
−
−
1
csc
cot
csc
cot
csc
cot
θ
θ
θ
θ
θ
θ
θ
+
+
+
cos
1
cos
cos
sec
cos
1 (
sec
)
cos
=
=
=
129.
θ
θ
θ
θ
θ
+
−
−
−
2
2
tan
sec
1
(sec
1
)(sec
) 1
sec
1
θ
θ
θ
θ
θ
θ
θ
θ
6
2
3
2
2
4
2
4
6
130. cos
= (1 - sin
)
= (1 - sin
)(1 - 2 sin
+ sin
) = 1 - 3 sin
+ 3 sin
- sin
NEGATIVE-ANGLE, SUM, DIFFERENECE AND CO-FUNCTION IDENTITIES
θ
φ
θ
φ
θ
θ
θ
131. cos
cos
- sin
sin
132. tan (-
)
133. cos
134. cos
θ
φ
θ
θ
θ
φ
θ
135. cos (
-
)
136. tan
137. -sin
138. cos (
+
)
139. sin (-
)
θ
θ
θ
φ
θ
φ
θ
140. sin
141. cot
142. cos
cos
+ sin
sin
143. -tan
3
1
3
−
146.
147.
145. 0
148. -1
144.
2
2
3
2 +
2 −
5 −
6
6
2
15
149. 1
152. -1
150.
151.
153.
4
4
10
- 41 -

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