Hello from MrBillDoesMath
Answer:
[email protected] = - sqrt(7)/ 4
which is choice B
Discussion:
This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:
([email protected])^2 + (sin2)^2 = 1
If [email protected] = 3/4
, the
([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)
([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16
So...... taking the square root of both sides gives
[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4
But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative
[email protected] = - sqrt(7)/ 4
which is choice B
Thank you,
Mr. B
Undo the X first...........
Basically your just swapping there positions like so:
if x=-5, then 3-2x=13
Hope this helps! :)
Answer:
4/52 or 1/13
Step-by-step explanation:
there are only 4 kings; diamond, Heart, Spades and Clubs.
Answer:
See below.
Step-by-step explanation:
Lets take √72:
Factoring 72 to find perfect squares:
72 = 2*2*2*3*3
The largest perfect square in the above = 2*2*3*3 = 36.
So we can write 72 as 36*2.
√72 = √(36 * 2)
√36 * √2
= 6√2.
One more example:
√18 = √(2*3*3)
= √9*√2
= 3√2.
