Exercise
$\sin\left(b\right)-\cos\left(b\right)\sec\left(b\right)=0$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(b)-cos(b)sec(b)=0. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(b\right). Simplify the fraction \frac{-\cos\left(b\right)}{\cos\left(b\right)} by \cos\left(b\right). We need to isolate the dependent variable b, we can do that by simultaneously subtracting -1 from both sides of the equation.
Solve the trigonometric equation sin(b)-cos(b)sec(b)=0
Final answer to the exercise
$b=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$