Generate Quiz 69F5C3634A08C

“II,” or “option B,” is the right response. Unlike other trigonometric ratios, the cosine always absorbs its negative sign.

A: l

= ½ r2 θ: rθ

= r/2: 1

= r: 2

For example, l = rθ
= (𝝅/3) x 6
= 2𝝅m

The right response is 1.

Justification:

A = ½ r^2 theta

= ½ (4)(1/2)

= 1.

The right response is c) 1.732.

The angle is 30° when x is in the first quadrant and sin(x) = 0.5.

We can determine the value of tan(2x) by applying the trigonometric identity tan(x) = sin(x)/cos(x).

tan(2x) = sin(2x)/cos(2x)

The formula for double angles is sin(2x) = 2sin(x)cos(x).

So, tan(2x) = 2sin(x)cos(x)/cos(2x)

Using the Pythagorean identity cos^2(x) + sin^2(x) = 1 and substituting sin(x) = 0.5, we obtain:

tan(2x) = 2(0.5)(√(1 – 0.5^2))/√(1 – 0.5^2)

tan(2x) = 1/√3 = 1.732

Therefore, c) 1.732 is the right response.

Minutes and seconds are used to divide a degree when measuring angles. A degree is 60 minutes long, and a minute is 60 seconds long. Since 60 (minutes) times 60 (seconds) equals 3600 seconds in one degree, we are essentially using seconds to find the 3600th part of a degree. Angle measurements can be made with greater accuracy thanks to this subdivision.

1Degree = 60(minutes) =60*60(seconds) =3600 seconds 1second =1/3600 Degree

In light of the explanation, the response will be “Second.”

We are aware that

60 mins= 60×60 secs=3600 seconds

Therefore, using the computations above, the result is 3600.

l = rθ

l ∝ θ

where r is a constant

Seconds = Minutes x 60

Therefore, it can also be written as 60″.