What is the value of cos^2(30)+cos^2(60) ?

The value of cos^2(30)+cos^2(60) is 1

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cos^2(30)+cos^2(60)

cos^{2} (3 0^{\circ}) + cos^{2} (6 0^{\circ})

1

Solution steps

cos^{2} (3 0^{\circ}) + cos^{2} (6 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

= (\frac{3}{2})^{2} + (\frac{1}{2})^{2}

Simplify

(\frac{3}{2})^{2} + (\frac{1}{2})^{2} : 1

= 1

arctan (1.11)

arccos (\frac{6}{85})

3 sec (9 0^{\circ}) + 2 cos (\frac{π}{3}) - 3 tan (\frac{π}{4})

arcsin (0.61377)

arctan (1.14)

What is the value of cos^2(30)+cos^2(60) ?
The value of cos^2(30)+cos^2(60) is 1