1. 60/1/5 =12 (purple)
2. The theoretical is 1/5 and in the experimental probability the spinner was spun 60 times and 1/5 of those were purple making the theoretical and experimental probability of purple the same
4+3+2=9
216/9=24
(A)- 4 x 24= £96
Hope this helps!☺
Answer:
alternate exterior and transversal P
consecutive interior angles and transversal R
corresponding and transversal S
alternate interior and transversal Q
We proved that formula using the trigonometry relations sin3A + sinA = 4sinAcos^2A.
In the given question,
We have to prove the formula sin 3A+sin A = 4sinAcos^2A
The given expression is sin 3A+sin A = 4sinAcos^2A
To prove the formula we take the left side terms to the right side terms
The left side is sin 3A+sin A.
As we know that sin 3A = 3sinA − 4sin^3A
To solve the left side we put the value of sin 3A in sin 3A+sin A.
=sin 3A+sin A
=3sinA − 4sin^3A+sin A
Simplifying
= (3sinA+sin A) − 4sin^3A
= 4sinA − 4sin^3A
Taking 4sinA common from both terms
= 4sinA(1 − sin^2A)
As we know that cos^2A=1 − sin^2A. So
= 4sinAcos^2A
We proved the right hand side.
To learn more about formula of trigonometry terms link is here
brainly.com/question/15270423
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