if sin thitha =8/5 find cos thitha
if sin thitha =8/5 find cos thitha
Answers
Step-by-step explanation:
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Precalculus Examples
Popular Problems Precalculus Find the Other Trig Values in Quadrant I tan(theta)=8/5
tan
(
θ
)
=
8
5
Use the definition of tangent to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
tan
(
θ
)
=
opposite
adjacent
Find the hypotenuse of the unit circle triangle. Since the opposite and adjacent sides are known, use the Pythagorean theorem to find the remaining side.
Hypotenuse
=
√
opposite
2
+
adjacent
2
Replace the known values in the equation.
Hypotenuse
=
√
(
8
)
2
+
(
5
)
2
Simplify inside the radical.
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Hypotenuse
=
√
89
Find the value of sine.
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sin
(
θ
)
=
8
√
89
89
Find the value of cosine.
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cos
(
θ
)
=
5
√
89
89
Find the value of cotangent.
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cot
(
θ
)
=
5
8
Find the value of secant.
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sec
(
θ
)
=
√
89
5
Find the value of cosecant.
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csc
(
θ
)
=
√
89
8
This is the solution to each trig value.
sin
(
θ
)
=
8
√
89
89
cos
(
θ
)
=
5
√
89
89
tan
(
θ
)
=
8
5
cot
(
θ
)
=
5
8
sec
(
θ
)
=
√
89
5
csc
(
θ
)
=
√
89
8
Step-by-step explanation:
Sin Theta
= Perpendicular/Hypotenuse
You are giving the equation as 8/5
how can the Hypotenuse be smaller than the Perpendicular??