Question

Which is equivalent to tan θ?

Answer 1

That which is equivalent to tanθ is A sinθ/cosθ

To answer the question, we need to know what tanθ is

What is tanθ?

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

And also, the cosine of the angle θ is cosθ = y/1 = y

Since we have that

• tanθ = y/x,
• sinθ = x and
• cosθ = y

Substituting the values of the variables y and x into tanθ, we have

tanθ = y/x

tanθ = sinθ/cosθ

So, that which is equivalent to tanθ is A sinθ/cosθ

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