Answer:
Step-by-step explanation:
Several trig identities are involved in the proof of this. This is the order in which they are used.
- cos(2x) = cos²(x) -sin²(x)
- cos²(x) +sin²(x) = 1
- cos(x) = 1/sec(x)
<h3>Proof</h3>
Starting with the left side, we can transform it into the right side.

Answer:
3 pounds
Step-by-step explanation:
Answer:
20°
Step-by-step explanation:
The sum of angles in a ∆ = 180°
Therefore,
Use this expression to find the value of x, then find the measure of angle A.

Subtract 20 from both sides


Divide both sides by 20


Find measure of angle A.
Angle A is given as 
Plug in the value of x and solve

Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
=
= 
= 
= 
= cot²A = right side , thus proven