Math, asked by sandeep187350, 1 year ago

plz solve fast I will give brain mark plz ​

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Answered by siddhartharao77
0

Answer:

9.5

Step-by-step explanation:

Given: sin²5° + sin²10° + sin²15° + ..... + sin²85° + sin² 90°

= (sin² 5 + sin² 85) + (sin² 10 + sin² 80) + ... + (sin² 40 + sin² 50) + .. + (sin²45) + sin² 90

= (sin² 5 + cos² 5) + (sin² 10 + cos² 10) + ... +(sin² 40 + cos² 40) + ... (1/2) + 1

= 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + (1/2) + 1

= 9 + 1/2

= 19/2

= 9.5

Hope it helps!


siddhartharao77: :-)
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