Hi there!
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cosec 20 -cot 40= 1/sin 20 - cos 40/sin 40
= (sin 40 -cos 40 sin20)/(sin 40 sin 20)
= 1/sin 40 ( 2 cos 20 - cos 40)
=1/sin20 ( 2 cos(60-40)-cos 40)
=1/sin40( 2 cos 60 cos 40 - 2 sin 60 -sin 40-cos 40)
Put the value of cos 60
= 1/sin 40 ( 2 sin 60 sin 40)
=root(3)
Hope this helped you!
Answer:
Step-by-step explanation:
When you multiply powers with the same bases, you just add up the powers. In this case, it would be:
Paige is ahead of kate. It dosen't say she is behind anyone or last in the line. Carlos is not first in line. Kate cannot be first because someone is ahead of her. And lisa is last. So the answer is definitely paige. Hope i helped. Have a nice day.
First add all the numbers together to get the total number of marbles which would be 12 then make a fraction 3/12. Which can be simplified to 1/4 which if needed can be changed to a percentage of 25%. So your answer is either 1/4 or 25% depending on how your teacher would like it written.
Answer:
33
Step-by-step explanation:
25% of 44 is 11 so 44-11 = 33