Which one 11 or 13. it be easier to know
Hello from MrBillDoesMath!
Answer:
See Discussion below
Discussion:
(sinq + cosq)^2 = => (a +b)^2 = a^2 + 2ab + b^2
(sinq)^2 + (cosq)^2 + 2 sinq* cosq => as (sinx)^2 + (cosx)^2 = 1
1 + 2 sinq*cosq (*)
Setting a = b = q in the trig identity:
sin(a+b) = sina*cosb + cosa*sinb
sin(2q) = (**)
sinq*cosq + cosq*sinq => as both terms are identical
2 sinq*cosq
Combining (*) and (**)
(sinq + cosq)^2 = 1 + 2sinq*cosq => (**) 2sinq*cosq = sqin(2q)
= 1 + sin(2q)
Hence
(sinq + cosq)^2 = 1 + sin(2q) => subtracting 1 from both sides
(sinq + cosq)^2 - 1 = sin(2q)
The last statement is what we are trying to prove.
Thank you,
MrB
<span>A dragonfly beats its wings about 30 times a second. This is necessary to allow the insect to keep itself airborne, due to the relative weight of its body. Luckily, dragonflies have two sets of wings, or they would have to work even harder to stay up in the air.</span>
Answer: The price of item is $495.
Step-by-step explanation:
Since we have given that
Amount that Sara have = $90
Amount that Rachel have = $405
If they combine their money they will have enough to buy item.
So, Price of item would be
Amount that Sara have + Amount that Rachel have
Hence, the price of item is $495.
