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cp838761
18.07.2020 •
Mathematics
You are given that sin(A)=−20/29, with A in Quadrant III, and cos(B)=12/13, with B in Quadrant I. Find sin(A+B). Give your answer as a fraction.
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Ответ:
Step-by-step explanation:
Given that:
A is in 3rd quadrant and B is in 1st quadrant.
To find: sin(A+B)
Solution:
We know the Formula:
1.![sin(A+B) = sinAcosB+cosAsinB](/tpl/images/0709/1916/fb57a.png)
2.![sin^{2} \theta+cos^{2} \theta=1](/tpl/images/0709/1916/3ab98.png)
Now, let us find the values of cosA and sinB.
A is in 3rd quadrant, so cosA will be negative,
B is in 1st quadrant, sin B will be positive.
Now, using the formula:
Ответ:
10x10
9x9
That’s the answer I think