What is the value of (tan(17)+cot(-73))/(cot(17)) ?

The value of (tan(17)+cot(-73))/(cot(17)) is 0

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(tan(17)+cot(-73))/(cot(17))

\frac{tan ( 1 7 ^{\circ} ) + cot ( - 7 3 ^{\circ} )}{cot ( 1 7 ^{\circ} )}

0

Solution steps

\frac{tan ( 1 7 ^{\circ} ) + cot ( - 7 3 ^{\circ} )}{cot ( 1 7 ^{\circ} )}

Use the following property:

cot (- x) = - cot (x)

cot (- 7 3^{\circ}) = - cot (7 3^{\circ})

= \frac{tan ( 1 7 ^{\circ} ) - cot ( 7 3 ^{\circ} )}{cot ( 1 7 ^{\circ} )}

Rewrite using trig identities:

tan (1 7^{\circ}) = cot (7 3^{\circ})

= \frac{cot ( 7 3 ^{\circ} ) - cot ( 7 3 ^{\circ} )}{cot ( 1 7 ^{\circ} )}

Simplify

= 0

sin (- 5 \cdot π)

cot (3 8^{\circ})

8 \cdot cos (6 0^{\circ})

\frac{sin ( 6 4 ^{\circ} )}{8} + 48 ln (2) cos (6 4^{\circ})

sin (18. 4^{\circ})

What is the value of (tan(17)+cot(-73))/(cot(17)) ?
The value of (tan(17)+cot(-73))/(cot(17)) is 0