WXYZ is congruent to PQRS. Find each measure of angle P
1 answer:
You might be interested in
----------------------------------------------------------------------------------------------------
Check the picture attached.
the secants of the circle, BA and DC, intersect at point P, as shown.
i)
let m(P)=a
ii)
let m(CDA)=b, then the measure of ar CA is 2b, as "the measure of an inscribed angle is half the measure of the arc it intercepts"
iii)
m(DAB)= m(P)+m(CDA)= a+b, as DAB is an exterior angle of the triangle PAD.
iv)
then the measure of arc DB is 2m(DAB)=2(a+b)=2a+2b
v)
This is always true,
----------------------------------------------------------------------------------------------------
In our problem, there is a slight difference, we have 1 secant and one tangent, but it is just a special case and nothing changes.
As an exercise, we can repeat the steps of the general proof, by first joining U and T.
----------------------------------------------------------------------------------------------------
by the theorem we just proved,
m(R)=(m(TU)-m(SU))/2
30°=(100°-m(SU))/2
60°=100°-m(SU)
m(SU)=40°
Check the picture attached.
the secants of the circle, BA and DC, intersect at point P, as shown.
i)
let m(P)=a
ii)
let m(CDA)=b, then the measure of ar CA is 2b, as "the measure of an inscribed angle is half the measure of the arc it intercepts"
iii)
m(DAB)= m(P)+m(CDA)= a+b, as DAB is an exterior angle of the triangle PAD.
iv)
then the measure of arc DB is 2m(DAB)=2(a+b)=2a+2b
v)
This is always true,
----------------------------------------------------------------------------------------------------
In our problem, there is a slight difference, we have 1 secant and one tangent, but it is just a special case and nothing changes.
As an exercise, we can repeat the steps of the general proof, by first joining U and T.
----------------------------------------------------------------------------------------------------
by the theorem we just proved,
m(R)=(m(TU)-m(SU))/2
30°=(100°-m(SU))/2
60°=100°-m(SU)
m(SU)=40°
By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are ,
and
.
<h3>How to determine the exact values</h3>
In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:
Sine
(1)
Secant
(2)
Tangent
(3)
If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:
Sine
Secant
Tangent
By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are ,
and
.
<h3>Remark</h3>
The statement reports typing errors, correct form is shown below:
<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>
To learn more on trigonometric functions: brainly.com/question/6904750
#SPJ1