Question) Find the value of Sin2 1 +Sin2 3 +Sin2 5 + Sin2 87 +Sin2 - Maths - Some Applications of Trigonometry

Question

Question) Find the value of
S i n 2   1 ° + S i n 2   3 ° + S i n 2   5
° +   S i n 2   87 ° + S i n 2   89 ° U
s e   t h e   f o r m u l a   a n = a + ( n - 1 )
  d   t o   s o l v e   t h e   g i v e n
  q u e s t i o n   a n d   a l s o   u s e
  t h e   t r i g n o m a t r i c   i d e n t i t i
e s

Decoder_9 · Accepted Answer

Question) Find the value of . S i n 2 1 ° + S i n 2 3 ° + S i n 2 5 ° + . . . S i n 2 87 ° + S i n 2 89 ° . U s e t h e f o r m u l a a n = a + ( n - 1 ) d t o s o l v e t h e g i v e n q u e s t i o n a n d a l s o u s e t h e t r i g n o m a t r i c i d e n t i t i e s .

Question) Find the value of .
$S i n^{2} 1 ° + S i n^{2} 3 ° + S i n^{2} 5 ° + . . . S i n^{2} 87 ° + S i n^{2} 89 ° . U s e t h e f o r m u l a a_{n} = a + (n - 1) d t o s o l v e t h e g i v e n q u e s t i o n a n d a l s o u s e t h e t r i g n o m a t r i c i d e n t i t i e s .$