The next 2 answers are: -2/5 and -3/5
Answer:
a) ![\frac{1}{cos(2x)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%282x%29%7D)
Step-by-step explanation:
Answer:
Option A ![-\frac{19}{74}+\frac{71}{74}i](https://tex.z-dn.net/?f=-%5Cfrac%7B19%7D%7B74%7D%2B%5Cfrac%7B71%7D%7B74%7Di)
Step-by-step explanation:
we know that
To divide complex numbers, you must multiply by the conjugate.
we have
![\frac{-8+3i}{5+7i}](https://tex.z-dn.net/?f=%5Cfrac%7B-8%2B3i%7D%7B5%2B7i%7D)
To find the conjugate, change the sign between the two terms in the denominator
so
![\frac{-8+3i}{5+7i}(\frac{5-7i}{5-7i})=\frac{-40+56i+15i-21i^{2}}{25-49i^{2}} \\\\=\frac{-40+71i-21(-1)}{25-49(-1)} \\\\=\frac{-19+71i}{74}\\\\=-\frac{19}{74}+\frac{71}{74}i](https://tex.z-dn.net/?f=%5Cfrac%7B-8%2B3i%7D%7B5%2B7i%7D%28%5Cfrac%7B5-7i%7D%7B5-7i%7D%29%3D%5Cfrac%7B-40%2B56i%2B15i-21i%5E%7B2%7D%7D%7B25-49i%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B-40%2B71i-21%28-1%29%7D%7B25-49%28-1%29%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B-19%2B71i%7D%7B74%7D%5C%5C%5C%5C%3D-%5Cfrac%7B19%7D%7B74%7D%2B%5Cfrac%7B71%7D%7B74%7Di)
Answer:
1) m∠ZAY = 130°
2) m∠ZXY = 65°
3) m∠SVY = 35°
Step-by-step explanation:
1) the arc angle is the measure of the central angle which intercepts it so 130°
2)measure of the inscribed angle is 1/2measure of intercepted Arc so 1/2 of 130° is 65°
3) In this case two chords intersect inside a circle and four angles are formed
Angle Formed by Two Chords is 1/2*(Sum of Intercepted Arcs) so
m∠SVY = 1/2( m arc RX + m arc YS) = 1/2( 15+55) =1/2 * 70 =35°