On a piece of paper draw and label a right triangle using the given sides, solve for the unknown side and write the trigonometric functions for angles A and B, if a=5 and c=7.
I already found side b which equals 2 sqrts of 6.
Now I need to find the sin/cos of B
SinB
a)5/7
b)7/2sqrt6
c)2sqrt6/7
d)7/5
Cos B
a)7/5
b)2sqrt6
c)7/2sqrt6
d)5/7
If someone can tell me what values to put for sine and cosine I can do the rest. Thanks!
An easy way to remeber these rules is SOHCAHTOA. S is sine C is cosine and T is tangent. The other letters tell you what to use to find them. O is opposite A is adjacent and H is hypotoneuse. So the sine of B would be 2 sqrts of 6 (opposite) over 7(hypot.)
then to find cosine you would use 5(adjacent) over 7(hypot.)
would this still be the answer even though they were the same answers for angle A?
sin A = side opposite/hypotenuse = 5/7
sin B = side opposite/hypotenuse = 2(sqrt 6)/7
sin B and cos B will give the same answer for angle B. You can subtract angle B from 90o to obtain angle A or use sin A = a/c = 5/7
Angle A is angle A is angle A. =).
It matters little if you use sin, cos, tan, cot, or whatever, you will always get the same answers for angles A, B, and C as long as the sides don't change length.
I get the part you are saying but could you or someone help me with how to plug it in to a calculator and solve it? It'd help a bunch
Certainly! To find the values of sin B and cos B using a calculator, you can follow these steps:
1. Make sure your calculator is in degree mode. Most calculators have a button labeled "MODE" or "DEG" which allows you to switch between different angle measurement modes. Ensure that it is set to degree mode.
2. Enter the value of the numerator (the side opposite angle B) into the calculator. In this case, it is 2(sqrt 6).
3. Press the division symbol ("/").
4. Enter the value of the denominator (the hypotenuse) into the calculator. In this case, it is 7.
5. Press the "=" button to obtain the result.
The calculator should display the value of sin B. To find cos B, you can repeat the same steps but replace the numerator with the value of the adjacent side (which is 5 in this case).
Using these steps, you should be able to solve for sin B and cos B and choose the correct options from the given choices.