What is sec(A)(sqrt(csc^2(A)-1)) ?

The solution to sec(A)(sqrt(csc^2(A)-1)) is cot(A)sec(A)

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simplify sec(A)(sqrt(csc^2(A)-1))

simplify

sec (A) (csc^{2} (A) - 1)

cot (A) sec (A)

Solution steps

sec (A) (csc^{2} (A) - 1)

Remove parentheses:

(a) = a

= sec (A) csc^{2} (A) - 1

Use the Pythagorean identity:

csc^{2} (x) = 1 + cot^{2} (x)

csc^{2} (x) - 1 = cot^{2} (x)

= cot^{2} (A) sec (A)

cot^{2} (A) = cot (A)

= cot (A) sec (A)

sin (nπ) - sin (0)

sin (arccot (3 x))

- sin^{2} (18 0^{\circ} + x)

cos (arctan (\frac{4}{3}) + p in)

f (x) = sec (2) tan (x)

What is sec(A)(sqrt(csc^2(A)-1)) ?
The solution to sec(A)(sqrt(csc^2(A)-1)) is cot(A)sec(A)