Question
sin2 7Ëš + sin2 9Ëš +
sin2 11Ëš + sin2 12Ëš + ……… + sin2 83Ëš = ?Solution
sin 2 7Ëš + sin 2 9Ëš + sin 2 11Ëš + sin 2 12Ëš + ……… + sin 2 83Ëš = (sin2 7Ëš + sin2 83Ëš)+(sin2 9Ëš + sin2 81Ëš) + .…. + (sin2 43Ëš + sin2 47Ëš) + sin2 45Ëš = (sin2 7Ëš + cos2 7Ëš) + (sin2 9Ëš + cos2 9Ëš) + .…. + (sin2 43Ëš + cos2 43Ëš) + sin2 45Ëš {As sin (90Ëš - θ) = cos θ} = (1)+(1) + .…. upto 19 times + sin2 45Ëš { As sin 2 θ + cos 2 θ= 1} = 19 + sin2 45Ëš {As there are 19 odd numbers from 7 to 43}. = 19 + (1/√2)2 {As sin 45Ëš =1/√2 } = 19 + 0.5 = 19.5 ` ` ` ` ` ` ` ` ` ` ` `
Despite the challenging circumstances, the team managed to ____________ a breakthrough in their research, surprising even their harshest critics.
The building that we came across while travelling today was ___________.
 (A) cracked                       (B)ruined�...
Fill in the blank/s with suitable Word/s:
The team was able to _________ the project ahead of schedule.
A staggering 92 ______ of people don’t achieve their goalsÂ
In spite of the fact that he ___ exhausted from a long day at work, he ___ to stay up late to finish the project that was due the next day.
...Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blan...
I would say mine was a very secure childhood, _________ materially and emotionally.
In the following question, a sentence is given having two blanks in it followed by 5 options. Each option contains a pair of words. Choose the option w...
In the question below, a sentence is given which has a blank, meaning something has been omitted. From the options below, choose the correct combinatio...
I didn’t realize how hurtful my words had been until I saw Sherrie’s expression, _________ with shock.