en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^{2sin(pi/2)}

Solution

e^{2 s i n (\frac{π}{2})}

Solution

e^{2}

+1

Decimal Notation

7.38905 \dots

Solution steps

e^{2 s i n (\frac{π}{2})}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= e^{2 \cdot 1}

Simplify

= e^{2}

Popular Examples

cos (30.9 6^{\circ})

arctanh (\frac{1}{2})

2 sin (4 5^{\circ})

sin (9.5)

[2(cos(30)+isin(30))]^4

[2 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))]^{4}

Frequently Asked Questions (FAQ)

What is the value of e^{2sin(pi/2)} ?
The value of e^{2sin(pi/2)} is e^2