Find Cosec 60°, Sec 60° and Cot 60°?
Trigonometry helps us to understand the relation between the sides and angles of a triangle. Cosec, Sec and Cot are three of the six trigonometric ratios of a right angled triangle.
Answer: The values of Cosec 60°, Sec 60° and Cot 60° are 2/√3, 2 and 1/√3 respectively.
Let's understand the trigonometric table to calculate the values.
Explanation:
The trigonometric angle values table helps in finding the values of different trigonometric standard angles such as 0°, 30°, 45°, 60°, and 90° for all the trigonometric ratios.
Let's look into the trigonometric table as shown below.
Thus, from the table we observe that,
a) Cosec 60°= 2√3/√3 or 2/√3
b) Sec 60° = 2
c) Cot 60° = √3/3 or 1/√3
Also, we can calculate the values of these trigonometric using Sin and Cosine functions.
Let's look into the relationships,
Cosec x = 1 / sin x
Hence, Cosec 60° = 1 / Sin 60°
= 1 / (√3/2) ( Since, Sin 60° = √3/2)
= 2/√3
Sec x = 1 / Cos x
Hence, Sec 60° = 1 / Cos 60°
= 1/(1/2) ( Since, Cos 60° = 1/2)
= 2
Cot x = Cos x / Sin x
Hence, Cot 60° = Cos 60°/ Sin 60°
= (1/2) / (√3/2)
= 1/√3