Let N = log 10(√( cos 30°-1)2+√(2 tan 30°+1)2-4 sin 30°). Then N is

Question

Let N = log 10(√( cos 30°-1)2+√(2 tan 30°+1)2-4 sin 30°). Then N is (A) a negative real number (B) a positive real number (C) not real or meaningless in logarithm (D) 0

Tardigrade Admin · Accepted Answer

log 10((1-(√3/2))+((2/√3)+1)-2)=(2/√3)-(√3/2)= log 10((1/2 √3)) negative real

Q. Let $N = lo g_{10} ((cos 3 0^{\circ} - 1)^{2} + (2 tan 3 0^{\circ} + 1)^{2} - 4 sin 3 0^{\circ})$ . Then $N$ is

a negative real number

a positive real number

not real or meaningless in logarithm

0

$lo g_{10} ((1 - \frac{3}{2}) + (\frac{2}{3} + 1) - 2) = \frac{2}{3} - \frac{3}{2} = lo g_{10} (\frac{1}{2 3})$ \{negative real $}$

Q. Let N=log10​((cos30∘−1)2​+(2tan30∘+1)2​−4sin30∘). Then N is

a negative real number

a positive real number

not real or meaningless in logarithm

0

log10​((1−23​​)+(3​2​+1)−2)=3​2​−23​​=log10​(23​1​) \{negative real }

Q. Let $N = lo g_{10} ((cos 3 0^{\circ} - 1)^{2} + (2 tan 3 0^{\circ} + 1)^{2} - 4 sin 3 0^{\circ})$ . Then $N$ is

$lo g_{10} ((1 - \frac{3}{2}) + (\frac{2}{3} + 1) - 2) = \frac{2}{3} - \frac{3}{2} = lo g_{10} (\frac{1}{2 3})$ \{negative real $}$