Write the trigonometric expression in terms of sine and cosine, and then simplify. tan(𝜃)sec(𝜃) − cos(𝜃)
Question
Solution 1
Sure, let's break this down:
The trigonometric function tan(𝜃) can be expressed as sin(𝜃)/cos(𝜃), and sec(𝜃) is the reciprocal of cos(𝜃), which can be written as 1/cos(𝜃).
So, we can rewrite the expression tan(𝜃)sec(𝜃) − cos(𝜃) as:
(sin(𝜃)/cos(𝜃)) * (1/cos(𝜃)) - cos(𝜃)
This simplifies to:
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ies to:
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