Question

3) Sine of angle ⍺ is known to be 3⁄4: represent this as an equation. What are the exact values of (⍺) and (⍺)?

---------

Answer 1

The question doesn’t make sense so I assume you want cos(α) and tan(α).

If sin(α)=¾, which is the equation, then cos(α)=√(1-(¾)²)=√(7/16)=√7/4 and tan(α)=sin(α)/cos(α)=3/√7=3√7/7. The angle α itself cannot be represented exactly but it’s about 48.59º or 0.848 radians.