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

The value of sin(45)+cos(45)+tan(45) is sqrt(2)+1

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sin(45)+cos(45)+tan(45)

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

2 + 1

Solution steps

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

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

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

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

Simplify

\frac{2}{2} + \frac{2}{2} + 1 : 2 + 1

= 2 + 1

cos (\frac{5}{4})

- 4 cos (\frac{π}{6})

sin (\frac{π}{2} - \frac{π}{4})

tan (- \frac{8 π}{3})

9 sin (0) + 9 cos (0)

What is the value of sin(45)+cos(45)+tan(45) ?
The value of sin(45)+cos(45)+tan(45) is sqrt(2)+1