sin 45° = _______.

Explanation:

Trigonometric functions:

• Trigonometric functions also known as circular functions can be simply defined as the functions of an angle of a triangle.
• It means that the relationship between the angles and sides of a triangle is given by these trigonometric functions.
• The basic trigonometric functions are sine, cosine, tangent, cotangent, secant, and cosecant.

Sine Function:

• The sine function of an angle is the ratio between the opposite side length to that of the hypotenuse.

Sin θ = Perpendicular / Hypotenuse

• Sin 0° = 0
• Sin 30° = 0.5
• Sin 45° = \(\frac{1}{\sqrt 2}\) = 0.707
• Sin 60° = 0.867
• Sin 90° = 1