Semisi's Trig

sin

100

^{Where is Sin located?}

Opposite side and the hypotenuse.

200

Evaluate sin⁡(30∘)sin(30∘)

 sin⁡(30∘)=1/2sin(30∘)=1/2

300

Sketch the graph of pie=sin⁡(pie)y=sin(x) for piex in the interval [0,2pie][0,2π].

The graph of pie=sin⁡(pie)y=sin(x) in the interval [0,2][0,2pie] starts at 00, rises to a maximum of 11 at pie/2π/2, descends to 00 at pieπ, continues to a minimum of −1−1 at 3pie/23π/2, and returns to 00 at 2pie2π.

400

What is sin⁡(0∘)sin(0∘)?

sin⁡(0∘)=0sin(0∘)=0

500

 What is sin⁡(pi2)sin(2π)

(pi/2)=1

cos

100

Where is cos located?

adjacent side and the hypotenuse

200

• What is cos⁡(0∘)cos(0∘)?

cos(0∘)=1

300

What is cos⁡(90∘)cos(90∘)

cos(90∘)=0

400

What is cos⁡(pi,3)cos(3π)

cos(pi/3)=1/2

500

What is cos⁡(−60∘)cos(−60∘)

cos(−60∘)=1/2

tan

100

Where is tan located

Opposite and the adjacent

200

What is tan⁡(0∘)tan(0∘)

tan(0∘)=0

300

What is tan⁡(45∘)tan(45∘)

tan(45∘)=1

400

 What is tan⁡(pi,4)tan(4π)

tan(pi/4)=1

500

What is tan⁡(−45∘)tan(−45∘)

tan(−45∘)=−1