Question

If cos0°,sec90°,tan45°,cos0° are in G.P then find common ratio

Answer 1

The common ratio is 1.

Step-by-step explanation:

Given:

The terms that are in G.P. are $\cos 0\°,\sin 90\°,\tan 45\°\ and\ \cos 0\°$

For a geometric progression, the common ratio 'r' is given as the ratio of any two consecutive terms.

If $a_1\ and\ a_2$ are two consecutive terms of a G.P., then:

Common ratio is given as:

$r=\frac{a_2}{a_1}$

In the given question,

$a_1=\cos 0\°=1\\a_2=\sin 90\°=1$

Therefore, $r=\frac{a_2}{a_1}=\frac{1}{1}=1$

Therefore, the common ratio of the given G.P. is 1.