What is the continuity of all 6 trig functions? (sin, cos, tan, sec, csc, and cot).

Answered below

Step-by-step explanation:

Following are the continuity of all 6 trignometric functions.

Sin x = Opposite/hypotenuse

Cos x = Adjacent/hypotenuse

Tan x = sin x/cos x = Opposite/Adjacent

Sec x = 1/cos x

Cosec x = 1/sin x

Cot x = cos x/sin x

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statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

step-by-step explanation:

tangent z: 4/3

cosine y: 4/5

cotangent y: 4/3