What is the value of (120)/(110sec^2(arctan(120/110))) ?

The value of (120)/(110sec^2(arctan(120/110))) is 132/265

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(120)/(110sec^2(arctan(120/110)))

\frac{120}{110 sec ^{2} ( arctan ( \frac{120}{110} ) )}

\frac{132}{265}

Decimal Notation

0.49811 \dots

Solution steps

\frac{120}{110 sec ^{2} ( arctan ( \frac{120}{110} ) )}

Rewrite using trig identities:

sec (arctan (\frac{120}{110})) = 1 + (\frac{120}{110})^{2}

Use the following identity:

sec (arctan (x)) = 1 + x^{2}

= 1 + (\frac{120}{110})^{2}

= \frac{120}{110 ( 1 + ( \frac{120}{110} ) ^{2} ) ^{2}}

Simplify

= \frac{132}{265}

sin (\frac{π}{3}) \cdot 2^{\frac{1}{4}}

tan (\frac{180}{3})

arctan (\frac{16.97}{37.67})

arccos (- 0.17)

sin (92.5 5^{\circ}) 18.53

What is the value of (120)/(110sec^2(arctan(120/110))) ?
The value of (120)/(110sec^2(arctan(120/110))) is 132/265