Solved Examples on Cos 0 Degrees
Example 1: Find the value of given expression: cos 0 + cos 90 + cos 60
Solution:
Cos 0 = 1 , cos 90 = 0 , cos 60 = 1/2
Hence, cos 0 + cos 90 + cos 60 = 1 + 0 + 1/2 = 3/2 = 1.5
Example 2: Evaluate the given expression: Sin 90 + cos 0
Solution:
sin 90 = 1, cos 90 = 0
Hence, sin 90 + cos 0 = 1 + 0 = 1
Example 3: Find the value of given expression: √2(Sin 45 + cos 45) + cos 0 + cos 90 + sin 0 + sin 90
Solution:
sin 45 = 1/√2, cos 45 = 1/√2, cos 0 = 1, cos 90 = 0, sin 0 = 0, sin 90 = 1
√2(Sin 45 + cos 45) + cos 0 + cos 90 + sin 0 + sin 90
Putting the values we get
√2(1/√2 + 1/√2) + 1 + 0 + 0 + 1
= √2(2/√2) + 2
= 2 + 2 = 4
Example 4: Evaluate the given expression: Sin 30 + cos 0 + tan 45 + cot 45 .
Solution:
sin 30 = 1/2 , cos 0 = 1, tan 45 = 1, cot 45 =1
Putting the values in the expression we get
= 1/2 + 1 + 1 + 1
= 7/2
Example 5: Find the value of given expression: Cos20 + sin20 .
Solution:
cos 0 = 1 , sin 0 = 0
= (1)2 + (0)2
= 1 (by trigonometry identity also : sin2θ + cos2θ = 1)
Cos 0 Degrees
Cos 0 is equal to 1. Cosine Ratio in Trigonometry is defined as the ratio of the base to the hypotenuse. In Trigonometry, the angle θ is between the base and the hypotenuse of the right-angled triangle. Cosine Ratio is one of six ratios used in trigonometry. Trigonometric Ratios are the ratio of two sides of a triangle calculated for a given angle. Trigonometry is made up of two words trigono and metron where trigono means in triangle and metron means to measure the angles.
In this article, we will discuss Cos 0. How the value of cos 0 is derived? With the help of trigonometry, we can do accurate measurements of any object such as buildings, monuments, etc.
Table of Content
- What is Cos 0?
- How to Find the Value of Cos 0 Degree?
- Cos 0 using Trigonometry
- Cos 0 Using Unit Circle
- What are Trigonometric Ratios?
- Trigonometry Ratio Table
- Solved Examples on Cos 0 Degrees
- Practice Questions on Cos 0 Degree
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