What is the value of (csc(45)csc(30))/(tan(45)sec(45)) ?

The value of (csc(45)csc(30))/(tan(45)sec(45)) is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(csc(45)csc(30))/(tan(45)sec(45))

\frac{csc ( 4 5 ^{\circ} ) csc ( 3 0 ^{\circ} )}{tan ( 4 5 ^{\circ} ) sec ( 4 5 ^{\circ} )}

2

Solution steps

\frac{csc ( 4 5 ^{\circ} ) csc ( 3 0 ^{\circ} )}{tan ( 4 5 ^{\circ} ) sec ( 4 5 ^{\circ} )}

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

tan (4 5^{\circ}) = 1

Use the following trivial identity:

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

= \frac{2 \cdot 2}{1 \cdot 2}

Simplify

\frac{2 \cdot 2}{1 \cdot 2} : 2

= 2

6 \cdot sin (4 5^{\circ})

- e^{2} sin (0)

100 cos (3 7^{\circ})

sec (arccot (\frac{4}{5}))

cos (0.4 π)

What is the value of (csc(45)csc(30))/(tan(45)sec(45)) ?
The value of (csc(45)csc(30))/(tan(45)sec(45)) is 2