Solve these algebraic expression and make it them into one simplified expression
1 answer:
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Answer:
11.5
Step-by-step explanation:
Let think mathematically. We have a finite series.
sin² 5° + sin² 10° + sin² 15° + … + sin² 90° . Remeber that sin is a periodic function, and we also know that
and
also that
I'm imying that two angles that add up to 90 will make cancel out to 1.
Our full series will be
Angle measures increasing by 5 so
85+5=1
80+10=1
75+15=1
70+20=1
65+25=1
60+30=1
55+25=1
50+30=1
sin^2(45) is the same as sin(45)sin(45)=1/2.
And sin^2(90)=1 So our value is 9.5