Question

find the value of the tan(45 +theta ) – cot (45 –theta )

Answer 1

Here is the answer...

Answer 2

tan(45 + θ)  - Cot(45 - θ) = 0

Step-by-step explanation:

tan(45 + θ)  - Cot(45 - θ)

= Sin(45 + θ)/Cos(45 + θ)  - Cos(45 - θ)/Sin(45 - θ)

as we know that  Sinθ  = Cos(90 - θ)

=> Sin(45 + θ)  = Cos(90 - (45 + θ)) = Cos(45 - θ)

   Sin (45 - θ) = Cos(90 - (45 - θ) = Cos(45 + θ)

= Cos(45 - θ)/Cos(45 + θ)  - Cos(45 - θ)/ Cos(45 + θ)

= (Cos(45 - θ) - Cos(45 - θ))/Cos(45 + θ)

= 0/Cos(45 + θ)

= 0

tan(45 + θ)  - Cot(45 - θ) = 0

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