
therefore, sin(x) = cos(90° - x).
The formula for conditional probablity states that

Since we know both numerator and denominator, we only need to plug in the values:

Answer:
m<ABC=40
Step-by-step explanation:
Ok so we need to break up this problem.
m<ABC=4x
m<BCA=7x-20
m<A= 90 degrees (We are given a right angle here)
Because of the Triangle Sun Theorem, all the angles here would add up to 180 degrees. So..
4x+7x-20+90=180
Solve
x=10
Then we look back and see that m<ABC is 4x
We plug in x
4(10)=m<ABC
m<ABC=40
The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) = 
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
Learn more about Trigonometry from:
brainly.com/question/22698523
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