<h3>
Answer: B) Only the first equation is an identity</h3>
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I'm using x in place of theta. For each equation, I'm only altering the left hand side.
Part 1
cos(270+x) = sin(x)
cos(270)cos(x) - sin(270)sin(x) = sin(x)
0*cos(x) - (-1)*sin(x) = sin(x)
0 + sin(x) = sin(x)
sin(x) = sin(x) ... equation is true
Identity is confirmed
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Part 2
sin(270+x) = -sin(x)
sin(270)cos(x) + cos(270)sin(x) = -sin(x)
-1*cos(x) + 0*sin(x) = -sin(x)
-cos(x) = -sin(x)
We don't have an identity. If the right hand side was -cos(x), instead of -sin(x), then we would have an identity.
Answer:
13.75
Step-by-step explanation:
65 - 10 =55
55 ÷ 4 = 13.75
6n+1 = 25
subtract 1 from each side
6n+1-1 = 25-1
6n = 24
divide each side by 6
6n/6 = 24/6
n =4
Answer:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
B is the answer I chose but there are the steps so you can see how to solve it
