Exercise
$\sin^2\left(\frac{1}{4}\right)+\cos\left(a\right)=1$
Step-by-step Solution
Learn how to solve condensing logarithms problems step by step online. Solve the trigonometric equation sin(1/4)^2+cos(a)=1. Multiply both sides of the equation by \sin. Any expression multiplied by 1 is equal to itself. Multiply the single term \sin\left(x\right) by each term of the polynomial \left(\sin\left(\frac{1}{4}\right)^2+\cos\left(a\right)\right). We need to isolate the dependent variable a, we can do that by simultaneously subtracting \sin\left(\frac{1}{4}\right)^2\sin\left(x\right) from both sides of the equation.
Solve the trigonometric equation sin(1/4)^2+cos(a)=1
Final answer to the exercise
$a=\frac{1}{2}\pi+2\pi n,\:a=\frac{3}{2}\pi+2\pi n\:,\:\:n\in\Z$