Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
-2, 16
Step-by-step explanation:
Answer:
x = 3, y = 3
Step-by-step explanation:
x = -5x -18
5x + 18 = -x
6x + 18 = 0
6x = 18
x = 3
Step-by-step explanation:
3x-4=-8
3x=-8+4
3x=-4
x=-(4/3)
Answer:
$18.72
Step-by-step explanation:
15% of $49.50 is $7.42
$49.50 - $7.42 = $39.08
$39.08 + $37.60 = $76.68
6% of $76.68 is $4.60
$76.68 + $4.60 = $81.28
$100 - $81.28 = $18.72