What is sec(90-a)+sec(a) ?

The solution to sec(90-a)+sec(a) is csc(a)+sec(a)

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simplify sec(90-a)+sec(a)

simplify

sec (9 0^{\circ} - a) + sec (a)

csc (a) + sec (a)

Solution steps

sec (9 0^{\circ} - a) + sec (a)

Rewrite using trig identities

= \frac{1}{sin ( a )} + sec (a)

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= csc (a) + sec (a)

- sin (x + \frac{π}{2})

1 - cos^{2} (x) cos (x)

cos (t - 9 0^{\circ})

sin (\frac{π}{2} + 2 x)

cos (π + \frac{π}{4} n)