Question

Answer 1

a: \(A=sin23^0-cos67^0=sin23^0-sin23^0=0\)

b: \(B=tan18^0-cot72^0=tan18^0-tan18^0=0\)

c: \(C=\dfrac{sin60^0\cdot cos30^0}{2\cdot cot45^0}=\dfrac{\dfrac{\sqrt{3}}{2}\cdot\dfrac{\sqrt{3}}{2}}{2\cdot1}\)

\(=\dfrac{3}{4}:2=\dfrac{3}{8}\)

d: \(D=cot44^0\cdot cot45^0\cdot cot46^0\)

\(=cot44^0\cdot tan44^0\cdot1=1\)

e: \(E=sin10^0+sin40^0-cos50^0-cos80^0\)

\(=sin10^0-sin10^0+sin40^0-sin40^0\)

=0+0=0

f: \(F=12\cdot tan32^0\cdot tan58^0-8\cdot\dfrac{cot35^0}{tan55^0}\)

\(=12\cdot tan32^0\cdot cot32^0-8\cdot\dfrac{cot35^0}{cot35^0}\)

=12-8=4