Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5
Answer:
This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.
Step-by-step explanation:
The answer is (6x+1)•(x+4)•(x+3)
Answer:
y < 10 or (10, -∞)
Step-by-step explanation:
7y + 1 > 8y - 9
Simply get the y's on the right by subtracting 7y from both sides:
1 > y - 9
then adding 9 to both sides:
y < 10
or in interval notation:
(10, -∞)
