mei FP2 complex numbers topic assessment question

I've been working through the end of unit assessment for FP2 Complex Numbers & I'm completely stuck on 3(b)(ii)

This is the question:

And this is what I have so far

any help is appreciated (especially if I have made a mistake in my working so far)

Thanks!

any help is appreciated (especially if I have made a mistake in my working so far)

Thanks!

So, you've gotten to

\dfrac{\tan^2\theta}{\sec^6 \theta}

I'd convert to sines and cosines, and simplify and see how you can use part (b)(i) of the question - which I can't see clearly in the photo.

Thanks!

Oh and

\tan^2 \theta + 1 = \sec^2 \theta \iff \tan^2 \theta = \sec^2 \theta - 1 \neq 1 - \sec^2 \theta

I've been working through the end of unit assessment for FP2 Complex Numbers & I'm completely stuck on 3(b)(ii)

This is the question:

any help is appreciated (especially if I have made a mistake in my working so far)

Thanks!

\frac{\tan^2 x}{(1+\tan^2 x)^4} \sec^2 x = \frac{\tan^2 x}{(1+\tan^2 x)^4} (1+\tan^2 x) = \frac{\tan^2 x}{(\sec^2 x)^3}

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