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Which of the following are true? Select all that apply.
A. tan(theta)= cos(theta)/sin(theta)
B. cot(theta)= cos(theta)/sin(theta)
C. sec(theta)= 1/sin(theta)
D. csc(theta)= 1/cos(theta)
E. sec(theta)= tan(theta)/sin(theta)

Sagot :

Meghaaryal51idn

Answer:

Answer B is the correct answer..

cot(theta)=cos(theta)/sin(theta)

Trignometric functions are the ratio of the sides of the triangle. The correct option from the following is cot(theta)= cos(theta)/sin(theta).

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle. There are six basic trigonometric functions,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta= \dfrac{Sin \theta}{Cos \theta} =\dfrac{Perpendicular}{Base} \\\\\\Cosec \theta=\dfrac{1}{Sin\theta}=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta= \dfrac{1}{Cos\theta} = \dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{1}{Tan\theta}= \dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As we know about the basic trigonometric functions, therefore, the options that is correct from the following option is cot(theta)= cos(theta)/sin(theta).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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