Using simpler trigonometric identities, the given identity was proven below.
<h3>How to solve the trigonometric identity?</h3>
Remember that:
Then the identity can be rewritten as:
Now we can multiply both sides by cos⁴(x) to get:
Now we can use the identity:
sin²(x) + cos²(x) = 1
Thus, the identity was proven.
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Answer:
Or:
Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:
Thus, first, we need to find the slope. We can use the slope formula:
Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:
Or, fully simplified:
Using the other point, we will acquire:
Or, simplified: