Question

For 0°≤θ≤360°, how many distinct roots does the equation cosx(sinx-1)=0 have?

Answer 1

what have you tried ?

Answer 2

since you have done many questions of same type, it'll be a lot faster if you show your work and we verify and find the errors,if any.

Answer 3

cosx=0
--> 90, 270, 360

sinx=1
-->90

Answer 4

cos 360 is not 0

Answer 5

cosx=0
--> 90, 270

sinx=1
-->90

Answer 6

sin 270 =... ?

Answer 7

-1

Answer 8

oh yes.
correct, so in all how many roots ?

Answer 9

3 roots

Answer 10

distinct roots are ?

Answer 11

distinct roots are asked, so 90 and 270 only

Answer 12

different roots? same roots?

Answer 13

distinct = different

Answer 14

90 is the same, isn't it?

Answer 15

yes, so ?

Answer 16

you said the distinct roots are 90 and 270

Answer 17

what i meant was
90 and 270 are distinct roots means those are different for which cosx(sinx-1)=0
there are 2 distinct roots only.

Answer 18

**different angles

Answer 19

ohh

Answer 20

okay :) thanks

Answer 21

welcome ^_^