# Solve sin(θ) tan(θ) − cos(θ) = 1 for 0 ≤ θ ≤ 360?

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how to re arrange the trigonometric identity

how to re arrange the trigonometric identity

Here is another way to crack the Problem :

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This method uses trig addition formulae.

We know : #tantheta= (sintheta)/(costheta)#

So,

Using addition formulae:

I'm kind of stuck in the last step. Please could anybody help? Thanks!

Edit:

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There are two main trig identities we will use:

Start:

Using

Notice how we nearly have a quadratic in

From

Using

This is a quadratic in

Let

Remember

Take

We get our first answer from doing

This is a repeated root - look how 180 is on the line of symmetry.

And for reference, the graph of

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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