What is cos(θ)(csc(θ)-sec(θ))+1 ?

The solution to cos(θ)(csc(θ)-sec(θ))+1 is cot(θ)

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simplify cos(θ)(csc(θ)-sec(θ))+1

simplify

cos (θ) (csc (θ) - sec (θ)) + 1

cot (θ)

Solution steps

cos (θ) (csc (θ) - sec (θ)) + 1

Expand

cos (θ) (csc (θ) - sec (θ)) : cos (θ) csc (θ) - cos (θ) sec (θ)

= cos (θ) csc (θ) - cos (θ) sec (θ) + 1

csc (θ) cos (θ) = cot (θ)

= cot (θ) - cos (θ) sec (θ) + 1

sec (θ) cos (θ) = 1

= cot (θ) + 1 - 1

Subtract the numbers:

1 - 1 = 0

= cot (θ)

A (4, - 1) B (2, 3) C (1, 3)

(- 1 + i)^{5}

(4 sin (x) + 4 cos (x))^{2}

(a + ib)^{2}

(x - 3) (x + 3)

What is cos(θ)(csc(θ)-sec(θ))+1 ?
The solution to cos(θ)(csc(θ)-sec(θ))+1 is cot(θ)