Answer:
12
Step-by-step explanation:
Here we use SOHCAHTOA
Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH
Sin(x)= Opposite/Hypotenuse
Sin(45) = x/
×12 root 2
sin(45) times 12 root 2= 12
x=12
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They ha
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified