NDA2022MathematicsTrigonometric Ratios & IdentitiesActual
What is the value of 0^ + 10^ + 20^ + 30^ + .+ 360^ ?
Options
- A-1
- B0
- C1
- D2
Correct answer
B. 0
Step-by-step solution
aligned & 0^ + 10^ + 20^ + 30^ + .+ 360^ & = ( 0^ + 360^ )+ ( 10^ + 350^ )+ ( 20^ + . & . 340^ )+ + 180^ & =2 180^ 180^ +2 180^ 170^ + & .2 180^ 160^ )+ + 180^ & =0+0+0 .+0 [ 180^ =0 ] & =0 aligned