TRIGONOMETRIC RATIOS SIN COS AND TAN
In this section, you will learn how to find the values of the trigonometric ratios sin, cosine and tangent.
The formulas given below can be used to find the trigonometric ratios sin, cos and tan.
sin θ = Opposite side / Hypotenuse
cos θ = Adjacent side / Hypotenuse
tan θ = Opposite side / Adjacent side
Example 1 :
Find the value of cos C.
Solution :
90° is at ∠A. So the side which is opposite to 90° is known as hypotenuse. The side which is opposite to ∠C is known as opposite side. The remaining side is known as adjacent side.
So, we have
BC = Hypotenuse = 17
AB = Opposite side = 8
AC = Adjacent side = 15
Then,
cos C = Adjacent side / Hypotenuse
cos C = AC/BC
cos C = 15/17
Example 2 :
Find the vale of sin A.
Solution :
90° is at ∠B. So the side which is opposite to 90° is known as hypotenuse. The side which is opposite to ∠A is known as opposite side. The remaining side is known as adjacent side.
So, we have
AC = Hypotenuse = 65
BC = Opposite side = 33
AB = Adjacent side = 56
Then,
sin A = Opposite side / Hypotenuse
sin A = BC/AC
sin A = 33/65
Example 3 :
Find the value of tan B.
Solution :
90° is at ∠A. So the side which is opposite to 90° is known as hypotenuse. The side which is opposite to ∠B is known as opposite side. The remaining side is known as adjacent side.
So, we have
BC = Hypotenuse = 5
AC = Opposite side = 4
AB = Adjacent side = 3
Then,
tan B = Opposite side / Adjacent side
tan B = AC/AB
tan B = 4/3
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