Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
Answer:
no because the x value -2 has two corasponding y values
Step-by-step explanation:
Story Problem: You have seven apples. Someone gives you a few more apples, but you don't know how many they give you. All you know is that once they leave, you realize that you now have 9 apples total. How many apples did this person give you?
To answer this question, you can guess and check to see that the answer is 2. This is because 7+2 = 9. To use algebra, let x be the number of apples that the person gives you. So we have 7+x = 9 which is the same as x+7 = 9. Subtract 7 from both sides (to keep things balanced) and we end up with
x+7 = 9
x+7-7 = 9-7
x+0 = 2
x = 2
So this is a more formal way to find the answer is 2
Answer:
15
Step-by-step explanation:
1/8 times 120= 15