What is sqrt(1-sin^2(a))+5 ?

The solution to sqrt(1-sin^2(a))+5 is 5+cos(a)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(1-sin^2(a))+5

simplify

1 - sin^{2} (a) + 5

5 + cos (a)

Solution steps

1 - sin^{2} (a) + 5

Use the Pythagorean identity:

1 = cos^{2} (x) + sin^{2} (x)

1 - sin^{2} (x) = cos^{2} (x)

= 5 + cos^{2} (a)

Apply radical rule:

assuming

a \geq 0

= 5 + cos (a)

- cos (θ + 9 0^{\circ}) sin (0)

sin (100 π - x)

sin (arcsin (e^{x}))

(9 - 9 sin^{2} (x))^{\frac{3}{2}}

- \frac{2}{πn} cos (- πn)