What is the value of tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4) ?

The value of tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4) is sqrt(3)+(sqrt(6))/4

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tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4)

tan (\frac{π}{3}) + cos (\frac{5 π}{6}) \cdot sin (- \frac{3 π}{4})

3 + \frac{6}{4}

Solution steps

tan (\frac{π}{3}) + cos (\frac{5 π}{6}) sin (- \frac{3 π}{4})

Use the following trivial identity:

tan (\frac{π}{3}) = 3

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

Rewrite using trig identities:

sin (- \frac{3 π}{4}) = - \frac{2}{2}

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

Simplify

3 + (- \frac{3}{2}) (- \frac{2}{2}) : 3 + \frac{6}{4}

= 3 + \frac{6}{4}

cos^{2} (6 7^{\circ})

sin (2 π) - sin (0)

csc (- \frac{13 π}{4})

cot (87 0^{\circ})

arccsc (sin (\frac{π}{6}))

What is the value of tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4) ?
The value of tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4) is sqrt(3)+(sqrt(6))/4