-135° is in quadrant 3 (going clockwise rather than counter-clockwise as we usually do). The reference angle is 45° degrees (the terminal arm is 45° from the x-axis). To find the exact value, use the special triangles. sin(45°)=√2÷2 (rationalized form of 1÷√2, which you can get from the triangle: it has two sides of value 1, and by the Pythagoras theorem we get √2 as the hypotenuse; SOHCAHTOA gives us 1÷√2 for the sine value).The exact value of sin(-135°) would be -(√2÷2). (-135° is equivalent to 225°. sin(225°) does give the same answer as the negative of sin(45°)).
The answer on ed.genuity is 45 for part a, part b is square root 2/ 2, and part c is quadrant III
Answer from: Quest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Answer from: Quest
c
step-by-step explanation:
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