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Sveta_85 [38]
2 years ago
15

Assume that theta is a positive acute angle.

Mathematics
1 answer:
muminat2 years ago
6 0

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

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