What is the tangent ratio at 15 degrees?
Answers
Answered by
0
Answer: tan 15 ˚ = 2 − √ 3
Hopefully this help
Answered by
0
Answer:
Step-by-step explanation:
Answer:
tan
15
˚
=
2
−
√
3
Explanation:
Recall that
15
˚
can be written as
60
˚
−
45
˚
.
So,
tan
15
˚
=
tan
(
60
˚
−
45
˚
)
. We have to expand this using the difference formula for tangent. The sum/difference formulas are shown in the following table.
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tan
(
60
˚
−
45
˚
)
=
tan
60
˚
−
tan
45
˚
1
+
tan
60
˚
tan
45
˚
tan
(
60
˚
−
45
˚
)
=
√
3
−
1
1
+
√
3
×
1
tan
(
15
˚
)
=
√
3
−
1
1
+
√
3
It is preferable that the denominator is rationalized.
tan
15
˚
=
√
3
−
1
1
+
√
3
×
1
−
√
3
1
−
√
3
tan
15
˚
=
√
3
+
√
3
−
1
−
√
9
1
−
√
9
tan
15
˚
=
2
√
3
−
4
−
2
tan
15
˚
=
2
(
√
3
−
2
)
−
2
tan
15
˚
=
−
(
√
3
−
2
)
tan
15
˚
=
2
−
√
3
Hopefully this helps!
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