bhai46527
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

16. The value of sin² 5° + sin² 10° + sin² 15° + … + sin² 90° is equal to


explain in better way ok ​

Sagot :

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

[tex] \sin {}^{2} (45 + 45) = 1[/tex]

and

[tex] \sin {}^{2} (30 + 60) = 1[/tex]

also that

[tex] \sin {}^{2} (0 + 90) = 1[/tex]

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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.