Answer:
Part A: 6
Part B: 6√3
Step-by-step explanation:
Part A:
Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.
In a 30-60-90 the short leg is half of the hypotenuse.
YX = 12/2 = 6
Part B:
Method 1:
In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.
YZ = 6√3
Method 2:
Use the Pythagorean theorem.
a² + b² = c²
6² + (YZ)² = 12²
(YZ)² = 108
YZ = √(108)
YZ = √(36 × 3)
YZ = 6√3
1/6 or 0.16 in decimal form
Answer:
cos 4u = co^s2 2u - sin^2 2u
Step-by-step explanation:
cos 4u = co^s2 2u - sin^2 2u
Let 4u = 2x
cos 2x = cos^2 x - sin^ 2 x
cos (x+x) = cos^2 x - sin^ 2 x
Using cos(x+y) = cos(x)cos(y) -sin(x)sin(y)
cos(x) cos(x)- sin(x) sin (x)= cos^2 x - sin^ 2 x
cos^2 (x) -sin^2 (x) =cos^2 x - sin^ 2 x
Since this is true
cos 2x = cos^2 x - sin^ 2 x
This is true
Substituting 4u back for 2x
cos 4u = co^s2 2u - sin^2 2u
This is true
Answer:
The answer is 9 + 21b
Step-by-step explanation:
Simplify the expression.
~Hoped this helped~
