Answer:
53°
Step-by-step explanation:
17² = 18² + 20² - 2(18)(20) cos Q
289 = 324 + 400 - 720 cos Q
289 = 724 - 720 cos Q
-435 = -720 cos Q
0.6042 = cos Q
Q = 52.83
Answer:
(8, -7)
Step-by-step explanation:
well since it flip over the x-axis only, the 8 stays the same, however, the 7 flips completely to the second quadrant and becomes -7.
Hope this helped and have a amazing day.
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is
There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to
Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Answer:
X = 10
Step-by-step explanation:
if we say 1/2 base = <em>a</em>
a² = 13² - 12²
a² = 25
a = √25
a = 5
if 1/2 base = 5 then x = a × 2
hence X = 5 × 2 = 10
<7 and <10 are each 84 degrees