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0 votes
49.2k views
in Trigonometry by (48.7k points)
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2 tan 45° + cos 45° – sin 45° = ? 

(A) 0 

(B) 1 

(C) 2 

(D) 3

2 Answers

+1 vote
by (49.4k points)
edited by
 
Best answer

(C) 2

2 tan 45° + cos 45° – sin 45°

+2 votes
by (35 points)

\((i)\ \ 2 tan 45° + cos 45° – sin 45° = ? \\ \ \ \therefore tan45º=1 \ \ and \ \\\ cos45º=sin45º=\frac{\sqrt{2}}{2} \\ \therefore \ 2 tan 45° + cos 45° – sin 45°= \\ 2*(1)+\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}=2\)

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