What is sin(arctan(6)+pin) ?

The solution to sin(arctan(6)+pin) is (6sqrt(37)(-1)^n)/(37)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arctan(6)+pin)

simplify

sin (arctan (6) + πn)

\frac{6 37 ( - 1 ) ^{n}}{37}

Solution steps

sin (arctan (6) + πn)

Rewrite using trig identities

= \frac{6 37 cos ( πn ) + 37 sin ( πn )}{37}

Use the basic trigonometric identity:

sin (nπ) = 0

= \frac{37 \cdot 0 + 6 37 cos ( nπ )}{37}

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= \frac{0 \cdot 37 + 6 37 ( - 1 ) ^{n}}{37}

0 \cdot 37 + 637 (- 1)^{n} = 637 (- 1)^{n}

= \frac{6 37 ( - 1 ) ^{n}}{37}

\frac{1}{2} sec (2 π x - π)

sec (x - 36 0^{\circ})

14 sin (\frac{2 π}{8} (0 - c))

sin (- 9 x)

- sin (- 4 t)

What is sin(arctan(6)+pin) ?
The solution to sin(arctan(6)+pin) is (6sqrt(37)(-1)^n)/(37)