1. Establish the identity:

sin(theta+3pi/2)=-cos(theta)

2. Find the exact value of 2(theta) if sin(theta)=5/13

3. Show that: csc2(theta)-cot2(theta)=tan(theta)

4. Find the exact value of tan(cos^-1(square root of 3/2)

5. Approximate the value rounded to two decimal places: csc^-1(4)

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