What is sec(θ)-csc(90-θ) ?

The solution to sec(θ)-csc(90-θ) is 0

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simplify sec(θ)-csc(90-θ)

simplify

sec (θ) - csc (9 0^{\circ} - θ)

0

Solution steps

sec (θ) - csc (9 0^{\circ} - θ)

Rewrite using trig identities

= sec (θ) - \frac{1}{cos ( θ )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec (θ) - sec (θ)

Add similar elements:

sec (θ) - sec (θ) = 0

= 0

3 sin (x + \frac{π}{2})

sin (3 0^{\circ} + x)

cos (18 0^{\circ} + a)

tan (\frac{x}{2} + \frac{π}{4})

csc (π + x)