What is e^{ln(1-cos^2(x))} ?

The solution to e^{ln(1-cos^2(x))} is sin^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{ln(1-cos^2(x))}

simplify

e^{l n (1 - c o s^{2} (x))}

sin^{2} (x)

Solution steps

e^{l n (1 - c o s^{2} (x))}

Apply log rule:

a^{l o g_{a} (b)} = b

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

cos (\frac{π}{6} + x)

sin (- 2 sin (x) cos (x))

cos (arctan (y))

1 + tan^{2} (9 0^{\circ} - x)

tan (\frac{π}{3} + x)