Practicing Success
If $4 \theta$ is an acute angle, and $\cot 4 \theta = \tan(\theta - 5^\circ)$ is an acute angle, and $\cot 46 = \tan(6 - 5^\circ)$, then what is the value of $\theta$? |
19 45 21 24 |
19 |
We are given that , cot 4θ = tan ( θ - 5º ) { using, tanA = cot B Iff A + B = 90º } So, 4θ + θ - 5º = 95º 5θ = 95º θ = 19º |