Solving for y in Trigonometric Functions | Radian Question

  • Thread starter Venito
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In summary: Hi Venito! :smile:π radians = 180º …if you're not used to radians, do it in degrees, and convert using the 180/π factor. :wink:I am use to radians. Just not these. So use degrees. Okay I will give it a try.
  • #1
Venito
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Homework Statement


Consider the function y=sin2x +cos3x.

a.] Find a Value for the y if x= pye [Or who how ever it is spelled. 3.141592654]

b.] Find y if x=0.3 Radians.

c.] What is a period of this function? Show how you obtain this answer.

The Attempt at a Solution



No attempt since I have never come across these types of question in Radians before.
 
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  • #2
Hi Venito! :smile:

(have a pi: π :wink:)
Venito said:
No attempt since I have never come across these types of question in Radians before.

π radians = 180º …

if you're not used to radians, do it in degrees, and convert using the 180/π factor. :wink:
 
  • #3
I am use to radians. Just not these. So use degrees. Okay I will give it a try.

Thanks.
 
  • #4
The period of sin(2x) is π radians. The period of cos(3x) is 2π/3 radians. The period of the sum of these two functions is the smallest interval that is evenly divisible by both π and 2π/3.

By the way, we spell the name of this Greek letter as pi. I'm guessing that you're Italian, and it is spelled the same way in Italian.
 
  • #5
Venito said:

Homework Statement


Consider the function y=sin2x +cos3x.

a.] Find a Value for the y if x= pye [Or who how ever it is spelled. 3.141592654]
You certainly should know that [itex]sin(2\pi)= 0[/itex] and [itex]cos(3\pi)= -1[/itex].

b.] Find y if x=0.3 Radians.
This is not going to be any simple value. Use a calculator.

c.] What is a period of this function? Show how you obtain this answer.
What is the period of sin(2x)? What is the cos(3x)? What is the least common multiple of those two periods? Do you see why that is the period of y?

The Attempt at a Solution



No attempt since I have never come across these types of question in Radians before.
 

FAQ: Solving for y in Trigonometric Functions | Radian Question

What is a radian?

A radian is a unit of measurement for angles, equal to the angle subtended at the center of a circle by an arc that is equal in length to the circle's radius.

How is a radian different from a degree?

A degree is another unit of measurement for angles, where a full circle is divided into 360 equal parts. In contrast, a radian is based on the radius of a circle and measures the angle subtended by an arc of that same length.

Why is "A Odd Radian Question." considered an odd question?

The phrase "A Odd Radian Question." is grammatically incorrect and does not make sense. It may be considered odd because it is a nonsensical statement and does not follow standard conventions.

Can you give an example of an odd radian question?

An example of an odd radian question could be "How many radians are in a banana?" This question does not make sense as radians are a unit of measurement for angles, while bananas are a type of fruit.

Why is it important to understand radians in mathematics and science?

Radians are a fundamental concept in mathematics and science, particularly in fields such as trigonometry, calculus, and physics. They provide a more precise and natural way to measure angles and are essential in many mathematical and scientific calculations.

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