Trig Ratios of General Angles – Example 1: Find the trigonometric function: \(cos\) \(120^\circ\) Solution: \(cos\) \(120^{\circ}\) Use the following property: \(cos\)\((x)=\) \(sin\)\((90^{\circ}-x)\)\(cos\) \(120^{\circ} =\) \(sin\) \(( 90^{\circ} -120^{\circ})=\) \(sin ( -30^{\circ}) \) Now use the following property: \(sin (-x)\)\(=- sin (x)\) Then: \(sin ( -30^{\circ})=-sin (30^{\circ}\))\(=-\frac{1}{2 }\) The Absolute Best Books to Ace Pre-Algebra […]
Step by step guide to rationalizing Imaginary Denominators Step 1: Find the conjugate (it’s the denominator with different sign between the two terms. Step 2: Multiply the numerator and denominator by the conjugate. Step 3: Simplify if needed. Rationalizing Imaginary Denominators – Example 1: Solve: \(\frac{2-3i}{6i}\) Solution: Multiply by the conjugate: \(\frac{-i}{-i}\): \(\frac{2-3i}{6i}=\frac{(2-3i)(-i)}{6i(-i) }=\frac{-3-2i}{6}=-\frac{1}{2}-\frac{1}{3} i\) […]
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