What is the value of 15sqrt(2)csc(45)tan^2(30) ?

The value of 15sqrt(2)csc(45)tan^2(30) is 10

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15sqrt(2)csc(45)tan^2(30)

152 csc (4 5^{\circ}) tan^{2} (3 0^{\circ})

10

Solution steps

152 csc (4 5^{\circ}) tan^{2} (3 0^{\circ})

Use the following trivial identity:

csc (4 5^{\circ}) = 2

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

= 1522 (\frac{3}{3})^{2}

Simplify

1522 (\frac{3}{3})^{2} : 10

= 10

tan (arcsin (\frac{1}{2}))

sin (2 (\frac{3 π}{4}))

tan (22. 4^{\circ})

cot (arccos (\frac{2}{2}))

arccos (- 0.998482)

What is the value of 15sqrt(2)csc(45)tan^2(30) ?
The value of 15sqrt(2)csc(45)tan^2(30) is 10