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Byju's Answer
Standard IX
Mathematics
Use of Trigonometric Table
Show that: 1...
Question
Show that:
1
−
sin
60
∘
cos
60
∘
=
tan
60
∘
−
1
tan
60
∘
+
1
.
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Solution
1
−
sin
60
∘
cos
60
∘
=
1
−
√
3
2
1
2
=
2
−
√
3
1
L
H
S
=
2
−
√
3
R
H
S
:
R
H
S
=
tan
60
∘
−
1
tan
60
∘
+
1
=
√
3
−
1
√
3
+
1
=
√
3
−
1
√
3
+
1
×
√
3
−
1
√
3
−
1
=
(
4
−
2
√
3
)
2
R
H
S
=
2
−
√
3
.
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Similar questions
Q.
Show that:
(i)
1
−
sin
60
∘
cos
60
∘
=
tan
60
∘
−
1
tan
60
∘
+
1
(ii)
cos
30
∘
+
sin
60
∘
1
+
sin
30
∘
+
cos
60
∘
=
cos
30
∘
Q.
Show that:
(i)
1
-
sin
60
°
cos
60
°
=
tan
60
°
-
1
tan
60
°
+
1
(ii)
cos
30
°
+
sin
60
°
1
+
sin
30
°
+
cos
60
°
=
cos
30
°
Q.
2
tan
30
°
1
-
tan
2
30
°
is equal to
(a) cos 60°
(b) sin 60°
(c) tan 60°
(d) sin 30°