What is the value of 2*cos^2(pi/2)-sqrt(2)*sin(pi/2) ?

The value of 2*cos^2(pi/2)-sqrt(2)*sin(pi/2) is -sqrt(2)

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2cos^2(pi/2)-sqrt(2)sin(pi/2)

2 \cdot cos^{2} (\frac{π}{2}) - 2 \cdot sin (\frac{π}{2})

- 2

Solution steps

2 cos^{2} (\frac{π}{2}) - 2 sin (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= 2 \cdot 0^{2} - 2 \cdot 1

Simplify

= - 2

tan (arcsin (\frac{- 5}{13}))

arctan (\frac{- 31}{22})

e^{2} cos (0)

arcsin (\frac{- 1}{3})

sin (12 0^{\circ}) + tan (12 0^{\circ})

What is the value of 2*cos^2(pi/2)-sqrt(2)*sin(pi/2) ?
The value of 2*cos^2(pi/2)-sqrt(2)*sin(pi/2) is -sqrt(2)