The formula for the nth term of a geometric sequence:
a₁ - the first term, r - the common ratio
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
Answer:
Step-by-step explanation:
7. he travels 28*8 = 224 miles on 8 gallons
Rate of change is constant because the graph is a straight line
8. Yes he wil have to stop for petrol because 8 gallons only takes him 224 miles
Answer:
X= 20
Step-by-step explanation:
Since the they are both interior angles they can be set equal to each other.