The value of sin230 + sin240 + sin245 + sin255 + sin235 + sin245 + sin250 + sin260 is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4.
Given, sin230 + sin240 + sin245 + sin255 + sin235 + sin245 + sin250 + sin260
⇒ sin230 + sin240 + sin250 + sin245 + sin255 + sin235 + sin245 + sin260
⇒ sin230 + sin240 + cos240 + sin245 + sin255 + cos255 + sin245 + sin260
⇒ (1/4) + 1 + (1/2) + 1 + (1/2) + (3/4) = 4