Question

Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.

Answer 1

55°

Explanation:

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Which represents Sin∅ = p/h, Cos∅ = b/h, Tan∅= p/b.

The letters stand for:

h- hypotenuse which is the side opposite to the right angle. Here it is 7.
b- The side which has two angles. Here it is 4.

p- The other side which is between the hypotenuse and base here unknown.

Let ∅ be x.

We can find the angle by constructing an equation using the trigonometric ratio as you can see the base and hypotenuse is mentioned so as mentioned early Cosx= b/h

Cosx = 4/7

x= Cos^-1(4/7)

x= 55.15° = 55°