Show that when written in terms of t, where t=\tan

Gavin Frye

Gavin Frye

Answered question

2022-01-27

Show that when written in terms of t, where t=tan(x2) the expression 2(1+cos(x))(5sin(x)+12cos(x)+13) is a perfect square.

Answer & Explanation

rakije2v

rakije2v

Beginner2022-01-28Added 12 answers

2(1+cos(x))(5sin(x)+12cos(x)+13)=2(1+1t21+t2)(10t1+t2+1212t21+t2+13)
=4(1+t2)2(t+5)2

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