What is the value of tan(pi/4)sec(pi/4) ?

The value of tan(pi/4)sec(pi/4) is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(pi/4)sec(pi/4)

tan (\frac{π}{4}) sec (\frac{π}{4})

2

Decimal Notation

1.41421 \dots

Solution steps

tan (\frac{π}{4}) sec (\frac{π}{4})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 1

Use the following trivial identity:

sec (\frac{π}{4}) = 2

sec (\frac{π}{4})

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 2

= 1 \cdot 2

Simplify

= 2

11.5 - 10.5 cos (81 0^{\circ})

sec (0.43)

\frac{sin ( 9 0 ^{\circ} )}{90}

sin (259. 5^{\circ})

sin (6 0^{\circ}) tan (3 0^{\circ})

What is the value of tan(pi/4)sec(pi/4) ?
The value of tan(pi/4)sec(pi/4) is square root of 2