Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
the formula for a horizontal shift is (x-a) and this graph has moved 2 units to the left, -2, so the formula becomes (x+2)
Answer:
11/15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
51°
Step-by-step explanation:
Given
<QPR = 39°
<PQR = 90° ( inscribed angle in semi circle)
Now
<QPR + <PQR + <PRQ = 180° { being sum of angles of triangle)
39° + 90° + <PRQ = 180°
<PRQ = 180° - 39° - 90°
<PRQ = 51°
Hope it will help :)
Answer:

Step-by-step explanation:
Slope formula

Here

Slope can be calculated as

