Find the Exact Value sin(-270 degrees )

Problem

sin(−270^∘)

Solution

1. Identify the angle in standard position by finding a coterminal angle between 0^∘ and 360^∘

2. Add 360^∘ to the given negative angle to find its positive equivalent.

−270^∘+360^∘=90^∘

3. Determine the coordinates on the unit circle for 90^∘ which are (0,1)

4. Apply the definition of the sine function on the unit circle, where sin(θ)=y

sin(90^∘)=1

Final Answer

sin(−270^∘)=1

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