how do you find sin theta and cosine theta of angles?
ex. Find the sine theta and cosine theta of 150 degrees as well as the degrees in radians?
For the sine and cosine functions, you need a calculator, a slide rule (if there is one in the attic) or a table of trigonometric functions. There are also web sites you can use.
Sin 150 degrees = 1/2, exactly
cos 150 degrees = -(sqrt 3)/2
You can prove that with geometry, but other angles usually require a calculator or table.
To convert an angle in degrees to radians, multiply it by pi/180.
thanks we have a table but we have to fill it out ourselves and i wasn't sure how to do it.
To find the sine (sin) and cosine (cos) of an angle, you can use a scientific calculator or a trigonometric table. However, let me explain the process step by step:
1. Convert the angle to radians: Since many calculators and trigonometric tables use radians, it is helpful to convert the angle from degrees to radians. To convert from degrees to radians, you need to multiply the angle by π/180. So, for 150 degrees:
150 degrees * (π/180) = 5π/6 radians
Thus, 150 degrees is equivalent to 5π/6 radians.
2. Find the sine (sin) and cosine (cos) of the angle:
- Sine (sin) of an angle: Using a calculator or table, enter the angle in radians (5π/6) and press the sin button. The result will be the sine value of the angle.
- Cosine (cos) of an angle: Similarly, enter the angle in radians (5π/6) and press the cos button. The result will be the cosine value of the angle.
So, to find the sine and cosine of 150 degrees (or 5π/6 radians), you would need a calculator or table that can perform trigonometric functions.