Given data
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that
<span>sin (x+pi/2)=cos x</span>
Answer:
thxss for the points love
Step-by-step explanation:
kisses
- 3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
- 10x + 20 = 180 [combine like terms]
- 10x = 160 [subtract 20 from both sides]
- x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
Answer:
a. Inscribed angle = <WXY
b. Minor arc = arc(XY)
c. VWX
d. m(VWX) = 180°
e. m<VUW = 110°
Step-by-step explanation:
a. The angle, <WXY has its vertex on the circumference of the circle. Therefore, it can be referred to as an inscribed angle of the circle with center U.
Inscribed angle = <WXY
b. Arc(XY) is a minor arc because it is smaller than half of circle with center U.
Minor arc = arc(XY)
c. A semicircle is half of a full rotation for a circle. From the diagram, a semicircle is VWX
d. m(VWX) = Half the rotation of a full circle = 180°
e. m<VUW = arc(VW) (measure of central angle = measure of arc)
m<VUW = 110° (Substitution)