What is the value of sin(60)cos(30)+tan(45) ?

The value of sin(60)cos(30)+tan(45) is 7/4

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sin(60)cos(30)+tan(45)

sin (6 0^{\circ}) cos (3 0^{\circ}) + tan (4 5^{\circ})

\frac{7}{4}

Solution steps

sin (6 0^{\circ}) cos (3 0^{\circ}) + tan (4 5^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

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

Use the following trivial identity:

tan (4 5^{\circ}) = 1

= \frac{3}{2} \cdot \frac{3}{2} + 1

Simplify

\frac{3}{2} \cdot \frac{3}{2} + 1 : \frac{7}{4}

= \frac{7}{4}

2 (cos (\frac{4 π}{3}) + i sin (\frac{4 π}{3}))

arccsc (\frac{- 2}{3})

- \frac{1}{sin ^{2} ( 6 0 ^{\circ} )}

- 2 sin (2 (\frac{π}{4}))

sin (arctan (\frac{3}{2}))

What is the value of sin(60)cos(30)+tan(45) ?
The value of sin(60)cos(30)+tan(45) is 7/4