We know that and are equal, and we're looking for their sum. First, we'll need to find the value of .
Set the expressions equal to each other:
Subtract from both sides:
Divide everything by :
Now that we have the value of , we can substitute it into the sum of the two expressions to get our final answer.
Substitute:
Simplify:
T in the independent variable because it does not change based on the other variable. The other variable (C) changes based on it.<span />
The relation between the secant and tangent is used to prove the equation. The detailed description is given below.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equation is given below.
tan⁵ x = tan ³ x sec² x - tan³ x
Taking tan ³ x common then we have
tan⁵ x = tan ³ x (sec² x - 1)
We know that sec² x - 1 = tan² x, then we have
tan⁵ x = tan ³ x (tan² x)
tan⁵ x = tan⁵ x
Hence proved
More about the trigonometry link is given below.
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False. This number can be written as a fraction,