simplify 1/( 1- sin 46) raise to power 2

Answer 1

To simplify the expression (1 / (1 - sin 46))², we can start by simplifying the denominator.

The identity 1 - sin²θ = cos²θ can be applied here.

So, 1 - sin 46 can be written as cos² 46.

Therefore, the expression becomes (1 / cos² 46)².

Now, we can use the property of exponents to simplify further.

(a / b)² = a² / b².

Applying this property to our expression, we have 1² / (cos² 46)².

Simplifying even further, we get 1 / cos⁴ 46.