Which decimal is closest to 5.5? 5.33, 5.49, 5.07
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We are given that:
And that the two angles <em>A</em> and <em>B</em> are both in QI (positive acute angles).
Given this, we want to determine the value of sin(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to <em>A:</em>
<em /><em />
<em />
Likewise, for <em>B</em>, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of <em>B:</em>
<em /><em />
<em />
In conclusion:
With respect to <em>A</em>, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.
With respect to <em>B, </em>the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.
We can rewrite our original expression as:
And since <em>A</em> and <em>B</em> are both in QI, all trigonometric ratios will be positive.
Using the above conclusions, substitute:
Simplify. Hence: