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For positive acute angles A and B, it is known that sin A=3/5 and cos B=8/17. Find the value of sin(A+B) in simplest form. SHOW YOUR WORK. The first correct answer gets brainlyest.

Respuesta :

Answer:

84/85

Step-by-step explanation:

You actually need to draw the triangles to see it visually. Use the Pythagorean theorem to find the length of the second leg.

These are Pythagorean triples though.

sin(A+B)= sinAcosB + cosAsinB

(3/5)(8/17) + (4/5)(15/17)

(24/85) + (60/85)

= 84/85

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