Answer:
Step-by-step explanation:sin
(
θ
)
=
40
41
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
sin
(
θ
)
=
opposite
hypotenuse
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Adjacent
=
√
hypotenuse
2
−
opposite
2
Replace the known values in the equation.
Adjacent
=
√
(
41
)
2
−
(
40
)
2
Simplify
√
(
41
)
2
−
(
40
)
2
.
Tap for more steps...
Adjacent
=
9
Find the value of cosine.
Tap for more steps...
cos
(
θ
)
=
9
41
Find the value of tangent.
Tap for more steps...
tan
(
θ
)
=
40
9
Find the value of cotangent.
Tap for more steps...
cot
(
θ
)
=
9
40
Find the value of secant.
Tap for more steps...
sec
(
θ
)
=
41
9
Find the value of cosecant.
Tap for more steps...
csc
(
θ
)
=
41
40
This is the solution to each trig value.
sin
(
θ
)
=
40
41
cos
(
θ
)
=
9
41
tan
(
θ
)
=
40
9
cot
(
θ
)
=
9
40
sec
(
θ
)
=
41
9
csc
(
θ
)
=
41
40
