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Popular >

ln|4+tan(0)|

Solution

ln ∣ 4 + tan (0) ∣

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

ln ∣ 4 + tan (0) ∣

Use the following trivial identity:

tan (0) = 0

tan (0)

tan (x)

periodicity table with

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 0

= ln ∣ 4 + 0 ∣

Simplify

ln ∣ 4 + 0 ∣ : 2 ln (2)

ln ∣ 4 + 0 ∣

Add the numbers:

4 + 0 = 4

= ln ∣ 4 ∣

Simplify

∣ 4 ∣ : 4

∣ 4 ∣

Apply absolute rule:

∣ a ∣ = a, a \geq 0

∣ 4 ∣ = 4

= 4

= ln (4)

Rewrite

4

in power-base form:

4 = 2^{2}

= ln (2^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (2^{2}) = 2 ln (2)

= 2 ln (2)

= 2 ln (2)

Popular Examples

ln|sec(0)+tan(0)|

ln ∣ sec (0) + tan (0) ∣

cos (- \frac{1}{5})

arctan (\frac{7}{- 6})

(sin(150)+cos(300))/(tan(225)-sin(300))

\frac{sin ( 15 0 ^{\circ} ) + cos ( 30 0 ^{\circ} )}{tan ( 22 5 ^{\circ} ) - sin ( 30 0 ^{\circ} )}

26 cos (5 4^{\circ})

Frequently Asked Questions (FAQ)

What is the value of ln|4+tan(0)| ?
The value of ln|4+tan(0)| is 2ln(2)