Question

1-cos2A is equal to:​

Answer 1

Answer:

$1 - cos2a = 2 {sin}^{2} a$

Step-by-step explanation:

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Answer 2

1 - cos²A is equal to sin²A

• The Pythagorean identity is a fundamental relationship between the sine and cosine functions. It states that for any angle A, the square of the sine of the angle plus the square of the cosine of the angle is equal to 1.
• sin²A + cos²A = 1
• This identity is useful in many areas of mathematics and physics, especially in trigonometry and calculus. It can be used to find one of the trigonometric functions if the other is known, or to simplify expressions involving both sine and cosine.
• In the case of 1 - cos²A, it is equal to sin²A because the sum of the squares of sine and cosine for any angle is always 1. By subtracting cosine squared from 1, we are left with sine squared.
• So, 1 - cos²A = sin²A.

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