They always try to trick you with this. Remember anything 5 or above would round up, anything 4 and under would round down. So look for the tenth place. that's the 9. The number to the right is 8 which is greater than 5. That means round up. You can't round it to 0.1 because that takes it back down. So you just move it over. The answer is 1.0.
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:
7 to the 12th power. (The last one.)
Step-by-step explanation:
When dividing expressions with the same base you need to subtract the powers. In this case subtract 2 from 14 which makes 12. So your answer will be <u><em>7^12</em></u>.
Let's treat that one as a 4 by 8 rectangle with a 2 by 4 right triangle chopped out of the corner.
A = 4×8 - (1/2)×2×4 = 32 - 4 = 28
Answer: 28
