Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the to
1 answer:
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Ah...Trigonometry is fun!
The law of sines states:
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
We then plug in our given values to find C
Solving, we get 0.8557316387. We're not done yet!
We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation.
:)
The law of sines states:
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
We then plug in our given values to find C
Solving, we get 0.8557316387. We're not done yet!
We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation
:)
Answer:
D
Step-by-step explanation:
Using the addition formula for sine
sin(a + b) = sinacosb + cosasinb
and the exact values
sin( ) = cos(
) =
, cos(
) =
, sin(
) =
Note that =
+
, thus
sin()
= sin( +
)
= sin()cos(
) + cos(
)sin(
)
= ( ×
) + (
×
)
= +
= → D