Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
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x
=
3.78509376
Find the period.
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π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
__
b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
The answer would be c) 129
Just solve the equation, x + 0.15x + 0.06x = 15
1.21x = 15,
x = $12.39 (nearly)
Solve the question and go on from there like you were already doing.
