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# Can anyone help me with this question? watch

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1. Solve the following equation:

(secθ - cosθ)^2 = tanθ-sin^2(θ)

I've managed to simplify it down to tan^2θ-sin^2θ but I don't know how to get tanθ.

Any help would be much appreciated.
2. (Original post by Parrotperson)
Solve the following equation:

(secθ - cosθ)^2 = tanθ-sin^2(θ)

I've managed to simplify it down to tan^2θ-sin^2θ but I don't know how to get tanθ.

Any help would be much appreciated.
First of all, note that is a solution and that there will be periodic solutions with period .

Step 1: on the LHS, express in terms of .

Step 2: Multiply LHS and RHS by and simplify down the LHS to terms in .

Step 3: Simplify the RHS by expressing the second term (which now involves ) by turning the into something involving .

Step 4: Simply the RHS. You should be home and dry by now!

BTW: might be better to post this type of question in the maths forum in future

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Updated: November 8, 2015
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