Online Trigonometry Tutoring : Trigonometric Functions
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Learn about trigonometric ratios from certified online trigonometry tutor
✓ Trigonometric Ratios or Functions are special measurements of a right triangle
✓ The three basic trigonometric ratios are sine, cosine and tangent
✓ In a right angled triangle we can define all the trigonometric ratios.
Definitions of Trigonometric Ratios
- Sine is defined as the ratio of the side opposite to that angle to the hypotenuse.
- Cosine is defined as the ratio of the side adjacent to that angle to the hypotenuse.
- Tangent is defined as the ratio of the side opposite to that angle to the side adjacent to that angle.
- Cosecant is the multiplicative inverse of sine.
- Secant is the multiplicative inverse of cosine.
- Cotangent is the multiplicative inverse of tangent.
A. List the values of sin A, cos A, tan A for the triangle when length is given as 9.2
For sin A = Opposite/Hypotenuse = 6.0/9.2 = 0.652
For cos A= Adjacent/Hypotenuse = 7.2/9.2 = 0.782
For tan A = Adjacent/Opposite = 7.2/6.0 = 1.2
Problem 1. In this triangle, find the value of x.
Given : Length of the side= 45
angle = 30°
To Calculate: hypotenuse which is x?
Sin (30) = Opposite/Hypotenuse
x = 45/sin (30)
Problem 1. If x is an acute angle and tan x = 6, find the exact value of the trigonometric functions sin x and cos x.
Problem 2. What is the value of cos A ,cot A and sec A in given triangle?
Problem 3. State True or False
i) Ratio of the side adjacent to that angle to the hypotenuse is sine. _________
ii) Cotangent is a multiplicative inverse of tangent. ________
Answer 1. sin x = 0.98, cos x = 0.16
Answer 2. cos (A) = 0.5
sec (A) = 2
cot (A) = 1/
Answer 3. i) False
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