Cos 60o - cos 30o - sin 60o - sin 30o

Cos 60 is 1/2cos30 is #8730;3/2sin60 is #8730;3/2sin30 is 1/2so cos60 #215; cos 30 + sin60 #215; sin30 = 2 #215;(√(3)/4)= √(3)/2 ...

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Circular Measurement of Angle

Cos 60o × c...

Question

Cos $60^{o} \times c o s 30^{o} + s i n 60^{o} \times s i n 30^{o}$

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Solution

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\frac{sin 30^{o}}{sin 45^{o}} + \frac{sin 45^{o}}{sec 60^{o}} - \frac{sin 60^{o}}{cot 45^{o}} - \frac{cos 30^{o}}{sin 90^{o}}

\frac{s i n 30^{o}}{s i n 45^{o}} + \frac{t a n 45^{o}}{s e c 60^{o}} - \frac{s i n 60^{o}}{c o t 45^{o}} - \frac{c o s 30^{o}}{s i n 90^{o}}

\frac{cos 30^{o} + sin 60^{o}}{1 + cos 60^{o} + sin 30^{o}} = \frac{\sqrt{3}}{4}

\frac{sin 60^{o} + sin 30^{o}}{sin 60^{o} - sin 30^{o}} = \frac{tan 60^{o} + tan 45^{o}}{tan 60^{o} - tan 45^{o}}

sin 30^{o} + cos 30^{o} + tan 45^{o}

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