Answer:
C. cot theta
Step-by-step explanation:
(csc theta -cot theta )/(sec theta -1)
csc = 1/ sin
cot = cos / sin
sec = 1 / cos
Let x = theta
(1/ sin x -cos x / sin x )/(1/ cos x -1)
Getting a common denominator in the denominator and combining terms
(1- cos x)/ sinx / ( 1 - cos x) / cos x
(1- cosx) (1- cosx)
----------- ÷ ------------
sinx cos x
Copy dot flip
(1- cosx) cosx
----------- * ------------
sinx 1 -cos x
Cancel like terms
cos x / sin x
cos / sin = cot
cot x
cot theta
Answer:
Step-by-step explanation:
value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17
:::::
The value drops below $2,000 in the 17th year.
Answer:
p = -4
Step-by-step explanation:
-3( 2+4p) + 7 = 49
Subtract 7 from each side
-3( 2+4p) + 7 -7= 49-7
-3( 2+4p) = 42
Divide by -3
-3( 2+4p) /-3 = 42/-3
( 2+4p) = -14
Subtract 2 from each side
2+4p-2 = -14-2
4p = -16
Divide by 4
4p/4 = -16/4
p = -4
