Fatima wants to find the value of [tex]$\sin \theta$[/tex], given [tex]$\cot \theta-\frac{4}{7}$[/tex]. Which identity would be best for Fatima to use?
[tex]$\cos \theta=\frac{1}{\sec \theta}$[/tex]
[tex]$\sin ^2 \theta+\cos ^2 \theta=1$[/tex]
[tex]$\csc \theta=\frac{t}{y}$[/tex]
[tex]$1+\cot ^2 \theta=\csc ^2 \theta$[/tex]
Asked by colterdaggett
Answer (1)
The best identity to use would be the second one (sin 2
θ+cos 2
θ=1) since cotangent is defined as cosine over sine