We need to find the 8 th term nth term is given as <span><span>an</span>=<span>a1</span>+(n−1)d</span>
n=8, d =-4 (common difference) <span><span>a8</span>=<span>a1</span>+(8−1)×d</span>
<span><span>a8</span>=1+7×(−4<span>)</span></span>
Cos(x°) = (√3)/2
cos⁻¹[(√3)/2] = x°, that means x° = 30°
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.
Tap for more steps...
x
=
3.78509376
Find the period.
Tap for more steps...
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
42000000000000000
....................
