As per question statement, we have an angle "θ" whose measurement in radians is 7⁢(π/6). We have to convert this radians into its equivalent measurement in degrees. Thus, to solve this question, we will have need to know the relation between radians and degrees, which goes as,

("π" Radian = 180°).

Then, we will apply unitary method to our provided data and use the above-mentioned relation to obtain our desired answer, i.e.,

π Radian = 180°,

then, 7π Radian = $(180*7)$ °,

Then, 7⁢(π/6) Radian = $\frac{(180*7)}{6} =(30*7)=210$ °.

Radian: This is an unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.
Degrees: This is another unit of measurement of angles, one unit of this being equal to one three-hundred-and-sixtieth of the circumference of a circle.

To learn more about Radians and Degrees, click on the link below.

brainly.com/question/9045738

#SPJ4

8 0

1 year ago

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

3 years ago

Read 2 more answers

What is the maximum of the sinusoidal function?

crimeas [40]

Answer: 2

Step-by-step explanation:

7 0

3 years ago