What is the value of tan^2(45)-cos(30) ?

The value of tan^2(45)-cos(30) is 1-(sqrt(3))/2

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tan^2(45)-cos(30)

tan^{2} (4 5^{\circ}) - cos (3 0^{\circ})

1 - \frac{3}{2}

Solution steps

tan^{2} (4 5^{\circ}) - cos (3 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

= 1^{2} - \frac{3}{2}

Simplify

= 1 - \frac{3}{2}

sin (- 5 0^{\circ})

cos (arctan (\frac{5}{12}) - arcsec (\frac{9}{7}))

tanh^{2} (1)

cos (- 8)

- arctan (\frac{\frac{30 + 20}{2}}{80})

What is the value of tan^2(45)-cos(30) ?
The value of tan^2(45)-cos(30) is 1-(sqrt(3))/2