<span><span>Answer
No feature changes.
</span><span>Explanation
</span><span>There is no feature of the right triangle that changes. Rotation only changes the position of the triangle.
The angles remains the same and the lengths remains.</span></span>
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
$154.20
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
20% of $771 =
= 20% * $771
= 0.2 * $771
= $154.20
The increase is $154.20
