Check the picture below.
bear in mind that, arcs get their angle measurement, from the central angle they're in.
163.2 is the correct Answer
<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
Answer:
68°
Step-by-step explanation:
Here,
- Two supplementary angles are (2x – 8)° and (3x - 2)°.
As we know that the sum of two supplementary angles are 180°. So,
→ (2x – 8)° + (3x – 2)° = 180°
→ 2x° – 8° + 3x° – 2° = 180°
→ 5x° – 10° = 180°
→ 5x° = 180° + 10°
→ 5x° = 190°
→ x = 190° ÷ 5°
→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>
Supplementary angles are,
→ 2(38°) – 8
→ (76 – 8)°
→ 68°
→ 3(38°) – 2
→ (114 – 2)°
→ 112°
Therefore, the measure of the smaller angle is 68°.
