What is the value of -sqrt(2)sin(pi/2)-1 ?

The value of -sqrt(2)sin(pi/2)-1 is -sqrt(2)-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-sqrt(2)sin(pi/2)-1

- 2 sin (\frac{π}{2}) - 1

- 2 - 1

Decimal Notation

- 2.41421 \dots

Solution steps

- 2 sin (\frac{π}{2}) - 1

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

= - 2 \cdot 1 - 1

Simplify

= - 2 - 1

cos (arccot (- 1))

\frac{cos ^{3} ( 0 )}{3} - cos (0)

cos (\frac{π}{25})

arcsin (\frac{1.33 \cdot sin ( 5 8 ^{\circ} )}{1.52})

sin (15 1^{\circ})

What is the value of -sqrt(2)sin(pi/2)-1 ?
The value of -sqrt(2)sin(pi/2)-1 is -sqrt(2)-1