find the value of cos3°11'
Answers
Answer:
\cos (x)=(3)/(11)
Step-by-step explanation:
Use the definition of cosine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
cos
(
x
)
=
adjacent
hypotenuse
Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
Opposite
=
√
hypotenuse
2
−
adjacent
2
Replace the known values in the equation.
Opposite
=
√
(
11
)
2
−
(
3
)
2
Simplify
√
(
11
)
2
−
(
3
)
2
.
Tap for more steps...
Opposite
=
4
√
7
Find the value of sine.
Tap for more steps...
sin
(
x
)
=
4
√
7
11
Find the value of tangent.
Tap for more steps...
tan
(
x
)
=
4
√
7
3
Find the value of cotangent.
Tap for more steps...
cot
(
x
)
=
3
√
7
28
Find the value of secant.
Tap for more steps...
sec
(
x
)
=
11
3
Find the value of cosecant.
Tap for more steps...
csc
(
x
)
=
11
√
7
28
This is the solution to each trig value.
sin
(
x
)
=
4
√
7
11
cos
(
x
)
=
3
11
tan
(
x
)
=
4
√
7
3
cot
(
x
)
=
3
√
7
28
sec
(
x
)
=
11
3
csc
(
x
)
=
11
√
7
28
I hope this helps