Answer:
In <STU, the measure of <U=90°, TS = 73, SU = 55, and UT = 48. What ratio
represents the sine of <S? what would this be?
Step-by-step explanation:
You want to set one of the equations equal to either x or y. For this, I put x+y=-2 equal to y which would be y=-x-2. Then you plug this in to the other equation for y. This would give you 5x+2(-x-2)=2. When you factor the two into the parenthesis, combine like terms, and keep the x values on ones side and the other numbers on the other side, you get 3x=6
74.5
you have to switch the numbers for it to be a proper division problem
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²Θ = 1 - cos²Θ , cos²Θ = 1 - sin²Θ
Consider the left side
(sinΘ + cosΘ)(1 - sinΘcosΘ) ← distribute
= sinΘ(1 - sinΘcosΘ) + cosΘ(1 - sinΘcosΘ)
= sinΘ - sin²ΘcosΘ + cosΘ - sinΘcos²Θ
= sinΘ - (1 - cos²Θ)cosΘ + cosΘ - sinΘ(1 - sin²Θ)
= sinΘ - cosΘ + cos³Θ + cosΘ - sinΘ + sin³Θ ← collect like terms
= sin³Θ + cos³Θ
= right side ⇒ proven
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