What is expand sec(a)(1-sin(a))(sec(a)+tan(a)) ?

The solution to expand sec(a)(1-sin(a))(sec(a)+tan(a)) is 1

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expand sec(a)(1-sin(a))(sec(a)+tan(a))

expand

sec (a) (1 - sin (a)) (sec (a) + tan (a))

1

Solution steps

sec (a) (1 - sin (a)) (sec (a) + tan (a))

Expand

sec (a) (1 - sin (a)) (sec (a) + tan (a)) : sec (a) (- sin (a) tan (a) + sec (a))

= sec (a) (- sin (a) tan (a) + sec (a))

Apply the distributive law:

a (b + c) = ab + a c

sec (a) (- sin (a) tan (a) + sec (a)) = sec (a) (- sin (a) tan (a)) + sec (a) sec (a)

= sec (a) (- sin (a) tan (a)) + sec (a) sec (a)

Simplify

sec (a) (- sin (a) tan (a)) + sec (a) sec (a) : 1

= 1

(x - 2)^{2} (x - (6 i)) (x - (- 6 i))

x^{2 (a - 2)} - y^{6 b}

2 (e^{\frac{π}{2}} - 1)

(x - 1) \times x

(4 x^{3} - \frac{3}{x ^{2}})^{5}

What is expand sec(a)(1-sin(a))(sec(a)+tan(a)) ?
The solution to expand sec(a)(1-sin(a))(sec(a)+tan(a)) is 1