What is sin(90-x)(sec(x)) ?

The solution to sin(90-x)(sec(x)) is 1

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simplify sin(90-x)(sec(x))

simplify

sin (9 0^{\circ} - x) (sec (x))

1

Solution steps

sin (9 0^{\circ} - x) (sec (x))

Rewrite using trig identities

= cos (x) sec (x)

Express with sin, cos

= 1

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

a r tan (\frac{- 1}{39})

- sec (- x)

s cos (\frac{- π}{6})

cos (x + π) + \frac{1}{2}