Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
Infinite, multiply it by any number divided by itself.
Ex. 1/2*2/2= 2/4
1/2*4/4=4/8 etc.
1. Find the unit rate
15 books divided by 5 days = 3 books sold per day.
Since we are looking for how many days it would take the store to sell 21 bucks, we could do 21 (amount of books) divided by 3 (how much books is sold in a day).
Therefore, it will take a week / 7 days to sell 21 books.
1) 0.927184
2) 0.615661
3) 0.383864
3+7 = 10
You do 500/10 which is 50 to find out 1
1 = 50
3 = 50 x 3 = 150
7 = 50 x 7 = 350
The ratio is 150 : 350
