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Evaluate :dfrac(2cos 67^o)(sin23^o)-dfrac(tan20^o)(cot50^o)-cos0^o

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Evaluate :dfrac(2cos 67^o)(sin23^o)-dfrac(tan20^o)(cot50^o)-cos0^o

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MillieAdvanced · Tutor for 1 years

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<span>$\dfrac{2cos 67^{o}}{sin23^{o}}-\dfrac{tan20^{o}}{cot50^{o}}-cos0^{o}$</span><span><br/></span><span>$=\dfrac{2cos(90^{o}-23^{o})}{sin23^{o}}-\dfrac{tan(90^{o}-50^{o}}{cot50^{o}}-cos0^{o}$</span><span><br/></span><span>$=\dfrac{2sin23^{o}}{sin23^{o}}-\dfrac{cot50^{o}}{cot50^{o}}-cos0^{o}$</span><span><br/></span><span>$=2\times 1-1-1=0$</span>
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