Algebra and Trigonometry
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θ=π4+2πn,3π4+2πn\(\theta\)=\(\frac{\pi}{4}\)+2\(\pi\) n,\(\frac{3\pi}{4}\)+2\(\pi\) nθ=4π+2πn,43π+2πn
θ=π4+2πn,7π4+2πn\(\theta\)=\(\frac{\pi}{4}\)+2\(\pi\) n,\(\frac{7\pi}{4}\)+2\(\pi\) nθ=4π+2πn,47π+2πn
θ=3π4+2πn,5π4+2πn\(\theta\)=\(\frac{3\pi}{4}\)+2\(\pi\) n,\(\frac{5\pi}{4}\)+2\(\pi\) nθ=43π+2πn,45π+2πn
θ=5π4+2πn,7π4+2πn\(\theta\)=\(\frac{5\pi}{4}\)+2\(\pi\) n,\(\frac{7\pi}{4}\)+2\(\pi\) nθ=45π+2πn,47π+2πn
Master How to Solve Linear Trigonometric Equations with a bite sized video explanation from Callie Rethman
Find all solutions to the equation.
cosx=1\(\cos\) x=1
tanθ=1\(\tan\]\theta\)=1
sinθ=−32\(\sin\]\theta\)=-\(\frac{\sqrt3}{2}\)
3sinθ−6=−93\(\sin\]\theta\)-6=-9
3tanθ−7=−6\(\sqrt\)3\(\tan\]\theta\)-7=-6
