## Problem

## Manuel found that cos (2θ) = -7 and θ is not in the first quadrant. To remember it more easily, he wants to convert cos (2θ) into sin (θ). What is the value of sin (θ)?

## Answer

## no solution 🎯

## Solution

There is no angle which when inserted to a cosine function outputs a value of -7. It is because there is no triangle where one of the sides is 7 units while the hypotenuse is only 1 unit (from the identity `cos (θ) = adjacent / hypotenuse`

), since the hypotenuse must be longer than both the legs of the right triangle.

*(Sorry for the gritty graphics of my image made using Microsoft Paint)*😅

# Winner: @minus-pi 🏅

1 HIVE has been sent to @minus-pi's Hive account. 💰

Nobody else has tried to submit their answer for the problem. 😮

Mentions: @jfang003, @ahmadmanga (@ahmandmangazap), @holovision, and @eturnerx (@eturnerx-dbuzz)

Special mentions: @dbuzz, @chrisrice, @jancharlest, and @mehmetfix 🤯

My Math mini-contests are intended to promote engagement within D.Buzz! Please check it out!