Question

Which of the following are reciprocal functions? sin x and cos x tan x and cot x cot x and csc x csc x and sec x

Answer 1

Answer:

1). sin x  and csc x

2). cos x and sec x

3).tan x and cot x

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

Csc θ = Hypotenuse /Opposite side

Sec θ = Hypotenuse /Adjacent side

Cot θ = Adjacent side/Opposite side

To find the correct answers

From the above points we get reciprocal of functions are,

1). sin x  and csc x

2). cos x and sec x

3).tan x and cotx

Answer 2

The following are reciprocals...
sin and csc
cos and sec
tan and cot