Prove that cos7°+sin7°/cos7°- sin7°=tan52°
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Answer:
Step-by-step explanation:
T
a
n
52
°
=
T
a
n
(
45
°
+
7
°
)
=
T
a
n
45
°
+
T
a
n
7
°
1
–
T
a
n
45
°
T
a
n
7
°
T
a
n
52
°
=
T
a
n
45
°
+
T
a
n
7
°
1
–
T
a
n
45
°
T
a
n
7
°
Value of
T
a
n
45
°
=
1
T
a
n
52
°
=
1
+
T
a
n
7
°
1
–
1
T
a
n
7
°
T
a
n
52
°
=
1
+
T
a
n
7
°
1
–
T
a
n
7
°
T
a
n
52
°
=
1
+
(
S
i
n
7
°
C
o
s
7
°
)
1
–
(
S
i
n
7
°
C
o
s
7
°
)
T
a
n
52
°
=
C
o
s
7
°
+
S
i
n
7
°
C
o
s
7
°
C
o
s
7
°
–
S
i
n
7
°
C
o
s
7
°
T
a
n
52
°
=
C
o
s
7
°
+
S
i
n
7
°
C
o
s
7
°
–
S
i
n
7
°
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