Luke would get 10 since mathew would be getting 15
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ)
Note:
sin(90 + θ) = cosθ Cosine and Sine are complementary.
cos(360 - θ) = cosθ Cosine positive in 4th quadrant.
tan(-θ) = -tanθ Negative angle concept.
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ) = 1/(cosθcosθ) - (-tanθ)²
= 1/(cos²θ) - tan²θ
= (1/cosθ)² - tan²θ
Note: 1/cosθ = secθ
= (secθ)² - tan²θ
= sec²θ - tan²θ
= 1
Note that 1+ tan²θ = sec²θ is a Trigonometric identity.
That means: sec²θ - tan²θ = 1
Hope this explains it.
Answer:
40% = 0.40
800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
Step-by-step explanation:
If x=3, y=7 when x+y=z
z=3+7
z=10
$0.19+$0.12=$0.31A two minute call would cost $0.31