What is the value of -sin(pi/3)+sec^2(pi/3) ?

The value of -sin(pi/3)+sec^2(pi/3) is -(sqrt(3))/2+4

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-sin(pi/3)+sec^2(pi/3)

- sin (\frac{π}{3}) + sec^{2} (\frac{π}{3})

- \frac{3}{2} + 4

Solution steps

- sin (\frac{π}{3}) + sec^{2} (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

sec (\frac{π}{3}) = 2

= - \frac{3}{2} + 2^{2}

Simplify

= - \frac{3}{2} + 4

sec (\frac{- π}{4})

4 cos (4 0^{\circ})

sin (90 0^{\circ})

100 sin (4 5^{\circ})

1 - sin (\frac{π}{6})

What is the value of -sin(pi/3)+sec^2(pi/3) ?
The value of -sin(pi/3)+sec^2(pi/3) is -(sqrt(3))/2+4