What is the value of sec(600)+cot(315) ?

The value of sec(600)+cot(315) is -3

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sec(600)+cot(315)

sec (60 0^{\circ}) + cot (31 5^{\circ})

- 3

Solution steps

sec (60 0^{\circ}) + cot (31 5^{\circ})

sec (60 0^{\circ}) = sec (24 0^{\circ})

= sec (24 0^{\circ}) + cot (31 5^{\circ})

cot (31 5^{\circ}) = cot (13 5^{\circ})

= sec (24 0^{\circ}) + cot (13 5^{\circ})

Rewrite using trig identities:

sec (24 0^{\circ}) = - 2

Use the following trivial identity:

cot (13 5^{\circ}) = - 1

= - 2 - 1

Simplify

= - 3

3 cos (0^{2}) - 18 (0)^{2} sin (0^{2}) - 8 (0)^{4} cos (0^{2})

sin (\frac{4}{5} - \frac{5}{13})

2 sin (\frac{3 π}{7}) cos (\frac{3 π}{7})

3 sin (0)

46 sin (6 0^{\circ})