What is the limit as θ approaches 0 of (1-cos(θ))/(sin(θ)) ?

The limit as θ approaches 0 of (1-cos(θ))/(sin(θ)) is 0

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limit as θ approaches 0 of (1-cos(θ))/(sin(θ))

θ \to 0 lim (\frac{1 - cos ( θ )}{sin ( θ )})

0

Solution steps

θ \to 0 lim (\frac{1 - cos ( θ )}{sin ( θ )})

Apply L'Hopital's Rule

: θ \to 0 lim (\frac{sin ( θ )}{cos ( θ )})

= θ \to 0 lim (\frac{sin ( θ )}{cos ( θ )})

Plug in the value

θ = 0

= \frac{sin ( 0 )}{cos ( 0 )}

Simplify

\frac{sin ( 0 )}{cos ( 0 )} : 0

= 0

\int sec (x) tan (x) - 7 e^{x} d x

x \to 6 lim (3)

y^{^{'}} = 2 x y

2 (a)^{3} - 3 (a)^{2} + 2 (a) + 5

(6, - 1), (- 18, 15)

What is the limit as θ approaches 0 of (1-cos(θ))/(sin(θ)) ?
The limit as θ approaches 0 of (1-cos(θ))/(sin(θ)) is 0