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Byju's Answer
Standard X
Mathematics
Range of Trigonometric Ratios from 0 to 90 Degrees
If 2cos 2A-...
Question
If
(
2
cos
2
A
−
1
)
(
tan
3
A
−
1
)
=
0
and if one of the value of angle
A
is
30
∘
find the other value of angle
A
.
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Solution
Given,
(
2
cos
2
A
−
1
)
(
tan
3
A
−
1
)
=
0
Either
2
cos
2
A
−
1
=
0
or
tan
3
A
−
1
=
0
cos
2
A
=
1
2
or
tan
3
A
=
1
cos
2
A
=
cos
60
∘
or
tan
3
A
=
tan
45
∘
2
A
=
60
∘
or
3
A
=
45
∘
A
=
30
∘
or
A
=
15
∘
A
=
30
∘
,
15
∘
Hence, other value of angle
A
is
15
∘
.
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