Answer:
Sin X=Cos Y
Step-by-step explanation:
Objective: Understand trigonometric relations such that
Cosine and Sine are similar to complementary angles that if X+Y are complementary angles,
Cos X= Sin Y and Cos Y= Sin X
Answer:
p=(t-s)/r
Step-by-step explanation:
This is an equation so all we have to do is solve backwards step by step:
rp+s=t
rp+s-s=t-s
rp/r=(t-s)/r
p=(t-s)/r
Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12
Answer:
y = 5, -4
Step-by-step explanation:
To solve proportions you cross-multiply.

Now that we have 8 = y^2 - y - 12, we must make the entire trinomial equal to 0 by subtracting 8 from both sides.
y^2 - y - 20 = 0
Factor the trinomial.
(y - 5)(y + 4) = 0
Make both factors equal to 0 to solve for both values of y.
- y - 5 = 0 --> y = 5
- y + 4 = 0 --> y = -4
y = 5, -4