If sec(theta) =25/24, find cot(theta) (picture provided)

B

Step-by-step explanation:

By the definition,

If we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

So,

The correct answer is option b

Cot θ  = 24/7

Step-by-step explanation:

Sec θ = Hypotenuse/Adjacent side

Cot θ = Adjacent side/Opposite side

It is given that,

secθ = 25/24

Hypotenuse =25

Adjacent side = 24

To find opposite side

Opposite side of θ = √(25² -  24²) = √625 - 576 = 7

To find cot θ  

Cot θ = Adjacent side/Opposite side = 24/7

Therefore the correct answer is option b

Cot θ = 24/7

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: