What is the value of tan(720)+3tan^2(pi/6)+2csc(-30) ?

The value of tan(720)+3tan^2(pi/6)+2csc(-30) is -3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(720)+3tan^2(pi/6)+2csc(-30)

tan (72 0^{\circ}) + 3 tan^{2} (\frac{π}{6}) + 2 csc (- 3 0^{\circ})

- 3

Solution steps

tan (72 0^{\circ}) + 3 tan^{2} (3 0^{\circ}) + 2 csc (- 3 0^{\circ})

Use the following property:

csc (- x) = - csc (x)

csc (- 3 0^{\circ}) = - csc (3 0^{\circ})

= tan (72 0^{\circ}) + 3 tan^{2} (3 0^{\circ}) + 2 (- csc (3 0^{\circ}))

tan (72 0^{\circ}) = tan (0)

= tan (0) + 3 tan^{2} (3 0^{\circ}) + 2 (- csc (3 0^{\circ}))

Simplify

= tan (0) + 3 tan^{2} (3 0^{\circ}) - 2 csc (3 0^{\circ})

Use the following trivial identity:

tan (0) = 0

Use the following trivial identity:

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

Use the following trivial identity:

csc (3 0^{\circ}) = 2

= 0 + 3 (\frac{3}{3})^{2} - 2 \cdot 2

Simplify

0 + 3 (\frac{3}{3})^{2} - 2 \cdot 2 : - 3

= - 3

110 \cdot 9.81 \cdot sin (6 0^{\circ})

4 (cos (1 5^{\circ}))

\frac{2}{π} \cdot sinh (1)

tan (π + \frac{π}{3})

6 sin^{2} (x) - 5 sin (x) = 0

What is the value of tan(720)+3tan^2(pi/6)+2csc(-30) ?
The value of tan(720)+3tan^2(pi/6)+2csc(-30) is -3