
Kayleigh G.
asked 11/23/22If sina =-7/25 and cosb = 8/17 with 270 < a,b < 360 find the value of sin(a+b)
is the answer -416/425?
1 Expert Answer
Raymond B. answered 11/23/22
Math, microeconomics or criminal justice
sinA =-7/25
cosB = 8/17
cosA = 24/25
sinB =- 15/17
sin(A+B)= sinAcosB + cosAsinB
= -(7/25)(8/17)+(24/25)(-15/17)
= (-56 -360)//425
=-416/425
A=cos^-1(24/25)= about 16.26
B= sin^-1(-15/17)=about 61.93
A=360-16.26= 343.74
B= 360-61.93 = 298.07
A+B = 641.81
sin(A+B)= about -0.98
-416/425/= about -0.98
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Mark M.
Did you use the sum formula?11/23/22