csc(2x) = csc(x)/(2cos(x))
1/(sin(2x)) = csc(x)/(2cos(x))
1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))
(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)/(2*cos(x)) = csc(x)/(2cos(x))
The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.
Answer:
f^-1 (x) = (1 - x)/3.
Step-by-step explanation:
f(x) = -3x + 1
3x = 1 - f(x)
x = (1 - f(x)) / 3
So f^-1 x = (1 - x)/3.
Answer:
Step-by-step explanation:
It's an exponential function but it is going in the negative direction. So now you know there has to be a negative in front of the function meaning it can only be c or d. Since we know its a exponential function. If we set x = 0, it will give us the y intercept. Which should be 1. However it is -2. Therefore it it multiplied by -2 meaning d is right answer
Answer:
3 * (x + 7)
Step-by-step explanation:
Mark number as x
Then the sum of a number and seven is x + 7
Three times x + 7 can be written as
3 * (x + 7)
Parentheses mean that we first add x and 7 and then multiply their sum by 3
Alternatively you can write it as 3x + 21, since
3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21
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