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:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
Answer:
22.14
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2 + b^2 = c^2
21^2 + 7^2 = c^2
441 + 49 = c^2
490 = c^2 (square root both sides so c^2 becomes c)
c = 22.13594363 (round to hundredths)
c = 22.14
