# Solving for a angle using trigonometry

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• ﻿﻿﻿How to find angles with trigonometry
• ﻿Welcome back to Math Attic, with me, your host Daniel. Today we are going to see how to find angles using trigonometry.
• How do we find this angle? Tan isn't enough for this problem﻿.
• ?
• 35
• 65﻿
• We need something new﻿.
• Here we have new functions﻿, Inverse sin, inverse cos and inverse tan
• Sin -1 ﻿Soh Sin-1 ﻿= opp/hyp
• Cos -1 ﻿Cah Cos -1 ﻿= opp/hyp
• Tan -1 ﻿Toa Tan -1 ﻿= opp/adj
• This new functions aren't the reciprocals of the first.﻿
• ﻿Sin-1 isn't 1/sin
• And we just solve with the new formula
• Sin -1 ﻿Soh Sin-1 ﻿= opp/hyp  Sin -1= 35/65  Sin -1 = 32.58
• 32.58
• 35
• That's how we do it.
• 65﻿
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