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
Answer:
34.086
Step-by-step explanation:
calculator
Answer:
£365 is cheaper than €425.
Step-by-step explanation:
We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.
€425 or £365
£365 = €(365 * 1.14)
£365 = €416.10
€425 > €416.10
£365 is cheaper than €425.
Step-by-step explanation:
just add all the given angles and equate it with 540° and then find x
x/2 + x/2 + x - 25 + 100 + x - 15 = 540°
3x + 60 = 540°
3x = 540 - 60
x = 480/3
x = 160°
on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.
Answer:
the answer would be 34 i believe
Step-by-step explanation:
