In , the measure of is and .
To find: b.
1. (Use pythagorean theorem)
(Substitue: )
(Square: )
(Subtract to each side)
(Subtract: )
(Square root to each side)
(Square root: )
2. (Definition of tangent ratio)
(Substitue: )
(Substitue: )
(Multiply to each side)
(Cancel common terms)
(Multiply: )
.
3. (Definition of sine ratio)
(Substitue: )
(Substitue: )
(Multiply to each side)
(Cancel common terms)
(Multiply: )
.
4. Find .
(Definition of cosine ratio)
(Substitue: )
(Substitue: )
(Multiply to each side)
(Cancel common terms)
(Multiply: )
.
The value of b is .
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