What is the value of 3-3sin(0) ?

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3-3sin(0)

3 - 3 sin (0)

3

Solution steps

3 - 3 sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

= 3 - 3 \cdot 0

Simplify

= 3

(tan (4 5^{\circ}) + cot (4 5^{\circ}))^{2}

2 sin (3 (arccos (- \frac{1}{4})))

\frac{tan ( 1 7 ^{\circ} ) + tan ( 1 3 ^{\circ} )}{1 - tan ( 1 7 ^{\circ} ) tan ( 1 3 ^{\circ} )}

arctan (756)

350000 csc (\frac{π}{30} \cdot 5)