the value tan9*tan27*tan63*tan81
Answers
Answered by
0
Explanation:
x
=
tan
81
+
tan
9
−
(
tan
63
+
tan
27
)
=
cot
9
+
tan
9
−
(
cot
27
+
tan
27
)
=
(
cos
9
)
2
+
(
sin
9
)
2
sin
9
⋅
cos
9
−
(
cos
27
)
2
+
(
sin
27
)
2
sin
27
⋅
cos
27
=
1
sin
9
⋅
cos
9
−
1
sin
27
⋅
cos
27
=
2
sin
18
−
2
sin
54
=
2
⋅
sin
54
−
sin
18
sin
54
⋅
sin
18
=
4
cos
36
⋅
sin
18
cos
36
⋅
sin
18
=
4
Answered by
0
Answer:
1
Step-by-step explanation:
tan9=tan(90-81)=cot81
tan27=tan(90-63)=cot63
so tan81×cot81×tan63×cot63
=1
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