A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent
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Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that is a variable number between -1 and 1 (inclusive).
This means that .
for all value
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.
By squeeze theorem, if
and , then we can also conclude that
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at .
.
We can finally conclude that by squeeze theorem.
Some people call this sandwich theorem.
<u>Given</u>:
Given that FGH is a right triangle. The sine of angle F is 0.53.
We need to determine the cosine of angle H.
<u>Cosine of angle H:</u>
Given that the sine of angle F is 0.53
This can be written as,
Applying the trigonometric ratio, we have;
----- (1)
Now, we shall determine the value of cosine of angle H.
Let us apply the trigonometric ratio , we get;
----- (2)
Substituting the value from equation (1) in equation (2), we get;
Thus, the cosine of angle H is 0.53