What is tan(pi-θ)+cot(pi/2-θ) ?

The solution to tan(pi-θ)+cot(pi/2-θ) is 0

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simplify tan(pi-θ)+cot(pi/2-θ)

simplify

tan (π - θ) + cot (\frac{π}{2} - θ)

0

Solution steps

tan (π - θ) + cot (\frac{π}{2} - θ)

Rewrite using trig identities

= - \frac{sin ( θ )}{cos ( θ )} + cot (\frac{π}{2} - θ)

Rewrite using trig identities

= - \frac{sin ( θ )}{cos ( θ )} + \frac{sin ( θ )}{cos ( θ )}

Add similar elements:

- \frac{sin ( θ )}{cos ( θ )} + \frac{sin ( θ )}{cos ( θ )} = 0

= 0

cos^{2} (π + θ) + sin^{2} (π + θ)

cos (- 2 θ)

sin (arcsin (t))

sin (\frac{π}{2} - y)

sec (9 0^{\circ} + x)