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Question Number 31808 by Abadon last updated on 15/Mar/18

The numeric value of the expression is:    ((Sec 1320°)/2) − 2 ∙ cos (((53π)/3)) + (tg 2220°)^2

$$\mathrm{The}\:\mathrm{numeric}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{expression}\:\mathrm{is}: \\ $$$$ \\ $$$$\frac{\mathrm{Sec}\:\mathrm{1320}°}{\mathrm{2}}\:−\:\mathrm{2}\:\centerdot\:\mathrm{cos}\:\left(\frac{\mathrm{53}\pi}{\mathrm{3}}\right)\:+\:\left(\mathrm{tg}\:\mathrm{2220}°\right)^{\mathrm{2}} \\ $$

Commented by Tinkutara last updated on 15/Mar/18

1

Commented by MJS last updated on 15/Mar/18

1320°=−120°  ((53π)/3)=−60°  2220°=60°  1−1+3=3

$$\mathrm{1320}°=−\mathrm{120}° \\ $$$$\frac{\mathrm{53}\pi}{\mathrm{3}}=−\mathrm{60}° \\ $$$$\mathrm{2220}°=\mathrm{60}° \\ $$$$\mathrm{1}−\mathrm{1}+\mathrm{3}=\mathrm{3} \\ $$

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