Trigonometry with some Algebra.

Geometry Level 3

If m = tan ⁡ θ + sin ⁡ θ m = \tan\theta +\sin\theta and

n = tan ⁡ θ − sin ⁡ θ n= \tan\theta - \sin\theta ,

then which of the following is equal to ( m 2 − n 2 ) 2 (m^{2}-n^{2})^2 ?

m 2 − n 2 m^2-n^2 m − n m-n m 2 + n 2 m^2+n^2 m + n m+n 16 m n 16mn

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Ahmad Saad
Jul 20, 2017

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice solution. Thank you.

Hana Wehbi - 3 years, 10 months ago

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