Step-by-step explanation:
cos(A + B) cos(A − B)
Use angle sum/difference formulas:
(cos A cos B − sin A sin B) (cos A cos B + sin A sin B)
Distribute:
cos² A cos² B − sin² A sin² B
Use Pythagorean identity:
cos² A (1 − sin² B) − (1 − cos² A) sin² B
Distribute:
cos² A − sin² B cos² A − (sin² B − sin² B cos² A)
cos² A − sin² B cos² A − sin² B + sin² B cos² A
cos² A − sin² B
Answer:
95 degrees
Step-by-step explanation:
Angle S is 95 so arc QR = 95×2 = 190
Total arc is 360 degree
Now to find arc QS
arc QS + arc SR + arc QR =360
arc QR + 75 + 190 =360
arc QR = 360- 265
arc QR = 95 degrees
P would equal 64. This is because 64 divided by 8 is 8.
-16t² + 32t + 128 = 0
-16t² + 64t - 32t + 128 = 0
-16t(t - 4) - 32(t - 4)
(-16t - 32)(t - 4) = 0
-16t -32 = 0 t - 4 = 0
-16t = 32 t = 4
t = -2
t = -2 and t = 4 are the values that makes S = 0.
Yes, because if you apply either of these values alone, S will be 0.
