Solve 50 sin t = 5

Evaluate

50 sin (t) = 5

Multiply both sides of the equation by \frac{1}{50}

50 sin (t) \times \frac{1}{50} = 5 \times \frac{1}{50}

Calculate

sin (t) = 5 \times \frac{1}{50}

Calculate

More Steps

sin (t) = \frac{1}{10}

Use the inverse trigonometric function

t = arcsin (\frac{1}{10})

Calculate

t = arcsin (\frac{1}{10}) t = - arcsin (\frac{1}{10}) + π

Add the period of 2 kπ, k \in Z to find all solutions

t = arcsin (\frac{1}{10}) + 2 kπ, k \in Z t = - arcsin (\frac{1}{10}) + π + 2 kπ, k \in Z

Solution

t = {arcsin (\frac{1}{10}) + 2 kπ - arcsin (\frac{1}{10}) + π + 2 kπ, k \in Z

Alternative Form

t \approx {5.7391 7^{\circ} + 36 0^{\circ} k 174.2608 3^{\circ} + 36 0^{\circ} k, k \in Z

Alternative Form

t \approx {0.100167 + 2 kπ 3.041425 + 2 kπ, k \in Z

Solve the equation