Question

find the value of cot(-15pie/4)

Answer 1

Answer:

The answer is -cot(-1/4π)

Step-by-step explanation:

Hope this will help you

Answer 2

The value of cot(-15π/4) = 1  

Given :

cot(-15π/4)

To find:

The value of cot(-15π/4)

Solution:

NOTE :

• In Trigonometry, the value of π in degree is 180°

• Here we use π in degrees to represent the measure of angle in radians.
• For example, Cos π is equal to Cos 180

Given cot(-15π/4)

From above data,

cot(-15π/4) = cot (-15(180)/4)

=> cot (15(45))

=> - cos (675)                                [ ∵ cot (- θ) = -cot θ ]

=> - cot (360°+375°)                      [ ∵ cot (n∙360°+ θ) = cot θ]  

=> - cot (375°)  

=> - cot (270°+ 45°)                    

=> - tan(-45°)                                     [ ∵ cot (270° + θ) = - tan θ ]

=>   tan 45°                                       [ ∵ tan (- θ) = - tan θ ]  

= >  tan 45° = 1                                  [ tan 45° = 1 ]  

Therefore,

The value of cot(-15π/4) = 1  

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