solve for x: tan(x-15)=cot(x-20)

Solve for x: tan(x-15)=cot(x+20);0
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tan(x-15)=cot(x+20),

tan(x-15)=tan(90-x-20),

x-15=90-x-20,

2x=85, x=42.5°.

x=42.5+90n degrees where n is an integer.

tan(x-15)=cot(x-20),

tan(x-15)=tan(90-x+20),

x-15=90-x+20,

2x=125, x=62.5°.

x=62.5+90n degrees where n is an integer.
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