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
3.57142857 es la repuesta
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Step-by-step explanation:
Given that the number, 5,83_ has 2 as a factor.
It implies that the number 5,83_ is an even number
The number contains
5 thousands
8 hundreds
3 tens
? units
The possible units of an even number are 0, 2, 4, 6, and 8
Therefore, the unknown digit could be 0, 2, 4, 6, or 8