Prove the identity.sec 4 x - tan 4 x = sec 2 x + tan 2 x
What will be an ideal response?
sec 4 x - tan 4 x = (sec 2 x + tan 2 x)(sec 2 x - tan 2 x) = (sec 2 x + tan 2 x)(1) = sec 2 x + tan 2 x.
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Solve the problem.The following data represents the temperature T (°Fahrenheit) in a certain city x hours after midnight over the course of one day.
a) Find the average rate of change in temperature from 6 AM to 12 noon. Round to two decimal places.b) Find the average rate of change in temperature from 6 PM to 9 PM. Round to two decimal places.c) Decide on a function of best fit to these data (linear, quadratic, or cubic) and use this function to predict the temperature at 4 PM. Round to one decimal place.
What will be an ideal response?
Perform the indicated operation. Write the answer in the form a + bi.3(cos 30° + i sin 30°) ? 2(cos 90° + i sin 90°)
A. -3 + 3i
B. 2
- i
C. 3 - 12i
D. -6 - 6i
The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.
, 
, 
, 
, ...
A. an = 
B. an = 
C. an = 
D. n(n + 2)
Simplify.2 +
2- 
A. 
B. 
C. 
D. - 