What is the value of 4sin^2(45)+8cos^2(30) ?

The value of 4sin^2(45)+8cos^2(30) is 8

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4sin^2(45)+8cos^2(30)

4 sin^{2} (4 5^{\circ}) + 8 cos^{2} (3 0^{\circ})

8

Solution steps

4 sin^{2} (4 5^{\circ}) + 8 cos^{2} (3 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

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

= 4 (\frac{2}{2})^{2} + 8 (\frac{3}{2})^{2}

Simplify

4 (\frac{2}{2})^{2} + 8 (\frac{3}{2})^{2} : 8

= 8

sec (e^{3 + 1}) - 3

arccsc (\frac{4}{3})

arctanh (\frac{3}{4})

1 + cos (1)

5 \cdot cos (9 0^{\circ})

What is the value of 4sin^2(45)+8cos^2(30) ?
The value of 4sin^2(45)+8cos^2(30) is 8