What is the value of (sin(30)+cot(60))(tan(60)) ?

The value of (sin(30)+cot(60))(tan(60)) is (1/2+(sqrt(3))/3)sqrt(3)

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(sin(30)+cot(60))(tan(60))

(sin (3 0^{\circ}) + cot (6 0^{\circ})) (tan (6 0^{\circ}))

(\frac{1}{2} + \frac{3}{3}) 3

Solution steps

(sin (3 0^{\circ}) + cot (6 0^{\circ})) (tan (6 0^{\circ}))

= (sin (3 0^{\circ}) + cot (6 0^{\circ})) tan (6 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cot (6 0^{\circ}) = \frac{3}{3}

Use the following trivial identity:

tan (6 0^{\circ}) = 3

= (\frac{1}{2} + \frac{3}{3}) 3

\frac{6 sin ( 7 0 ^{\circ} )}{sin ( 4 2 ^{\circ} )}

sin (3 0^{\circ}) cos (6 0^{\circ}) - sin (6 0^{\circ}) cos (3 0^{\circ})

cos (2 π - \frac{π}{4})

arcsin (0.9779)

3 sin (3 8^{\circ})

What is the value of (sin(30)+cot(60))(tan(60)) ?
The value of (sin(30)+cot(60))(tan(60)) is (1/2+(sqrt(3))/3)sqrt(3)