What is the value of csc^2(45)+cot^2(30)-2sec(60) ?

The value of csc^2(45)+cot^2(30)-2sec(60) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc^2(45)+cot^2(30)-2sec(60)

csc^{2} (4 5^{\circ}) + cot^{2} (3 0^{\circ}) - 2 sec (6 0^{\circ})

1

Solution steps

csc^{2} (4 5^{\circ}) + cot^{2} (3 0^{\circ}) - 2 sec (6 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cot (3 0^{\circ}) = 3

Use the following trivial identity:

sec (6 0^{\circ}) = 2

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

Simplify

(2)^{2} + (3)^{2} - 2 \cdot 2 : 1

= 1

cos (2 9^{\circ}) \cdot 46.6

sin (arccos (\frac{3}{7}))

0.5 sin (4 0^{\circ})

arctan (2.25)

90 sin (4 5^{\circ})

What is the value of csc^2(45)+cot^2(30)-2sec(60) ?
The value of csc^2(45)+cot^2(30)-2sec(60) is 1