SOLUTION: Given sin β = 5/13 in QII, and (6,-8) is on the terminal side of α, find the exact value of sin(α + β)

Question 1177770: Given sin β = 5/13 in QII, and (6,-8) is on the terminal side of α, find the exact value of sin(α + β)
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Draw a sketch showing angle β using a triangle in standard position in quadrant II with y=5 and hypotenuse 13, and showing angle α with a triangle in standard position with x=6 and y=-8.

Use your sketch and the Pythagorean Theorem to find the sine and cosine of both angles; then use sin(x+y) = sin(x)cos(y)+cos(x)sin(y)

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

See the lessons
    - Calculating trigonometric functions of angles
    - Advanced problems on calculating trigonometric functions of angles
    - Evaluating trigonometric expressions
in this site, and find there tens similar solved problems.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Trigonometry: Solved problems".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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