The correct answer is option B which is [tex]Cot\theta=\dfrac{24}{7}[/tex].
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
[tex]Sec\theta=\dfrac{25}{24}[/tex]
The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-
[tex]Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}[/tex]
Therefore the correct answer is option B which is [tex]Cot\theta=\dfrac{24}{7}[/tex].
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