Question

Sin(90-∅)×cos∅+cos(90-∅)×sin∅=1
(PROVE THE FOLLOWING)​

Answer 1

To prove the equation sin(90-∅)×cos∅+cos(90-∅)×sin∅=1, we can use trigonometric identities such as cos²∅+sin²∅=1.

Step-by-step explanation:

To prove the equation sin(90-∅)×cos∅+cos(90-∅)×sin∅=1, we can use the trigonometric identities provided.

Let's start by expanding the equation:

sin(90-∅)×cos∅+cos(90-∅)×sin∅

= (cos∅)×cos∅+(sin∅)×sin∅

= cos²∅+sin²∅

Using the identity cos²∅+sin²∅=1, we can simplify the equation to:

= 1

Therefore, sin(90-∅)×cos∅+cos(90-∅)×sin∅ equals 1.