The value of sin θ = 15/17 and tan θ = 15 /8 .
A unit circle is a circle with 1 unit as radius,
It is given that a point (8/17,y) lies on the circle in the first quadrant.
The figure represents the question
It can be understood that a right triangle is formed and the base is 8/17 , height is y and the hypotenuse is 1 as radius is 1.
To determine the height , Pythagoras is used
h² = 1² - (8/17)²
h = 15/ 17
Now
The angle θ is the angle between the radius joining this point and the positive x-axis.
sin θ = Perpendicular / Hypotenuse
sin θ = (15/17 ) /1
sin θ = 15/17
tan θ = Perpendicular / Base
tan θ = (15/17)/ (8/17)
tan θ = 15 /8
Therefore the value of sin θ = 15/17 and tan θ = 15 /8 .
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