Answer:
θ = 2 π n_1 + π/2 for n_1 element Z or θ = 2 π n_2 for n_2 element Z
Step-by-step explanation:
Solve for θ:
cos(θ) + sin(θ) = 1
cos(θ) + sin(θ) = sqrt(2) (cos(θ)/sqrt(2) + sin(θ)/sqrt(2)) = sqrt(2) (sin(π/4) cos(θ) + cos(π/4) sin(θ)) = sqrt(2) sin(θ + π/4):
sqrt(2) sin(θ + π/4) = 1
Divide both sides by sqrt(2):
sin(θ + π/4) = 1/sqrt(2)
Take the inverse sine of both sides:
θ + π/4 = 2 π n_1 + (3 π)/4 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
θ = 2 π n_1 + π/2 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
Answer: θ = 2 π n_1 + π/2 for n_1 element Z
or θ = 2 π n_2 for n_2 element Z
Answer: 2 week and 2 days
Step-by-step explanation:
Given
Melody spent 16 days in South America
A week consists of 7 days
In 2 weeks it is, 14 days
So, 16 days is equivalent to 2 weeks and 2 days
Melody spent 2 weeks and 2 days in South America
Domain: (-infinity, infinity)
range: (-infinity, infinity)
Answer:
( -1 , 1 )
Step-by-step explanation:
(x1,y1) = (5,9)
(x2,y2) = (-7,-7)
=(-7+5/2 , -7+9/2)
= (-1,1)
Answer:
the first one I guess
Step-by-step explanation:
