Answer:
See below for answer.
Step-by-step explanation:
RP/RT =RQ/RS Given
∠R = ∠R
ΔPQR similar to Δ TSR If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.
The Absolute Value of -4 is 4.
Combine like terms. Is there a picture for this?
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot if filled in.
When the sign is < or >, the dot is not filled in/open circle.
15 > m
[15 is greater than m, or m is less than 15]
Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)
