Answer:
- The value of θ is 45°
- Common difference is 2.
Step-by-step explanation:
(I)
Given that
Tan θ = Cot θ
We know that
Cot θ = Tan (90°-θ)
⇛Tan θ = Tan (90°-θ)
⇛θ= 90°-θ
⇛θ +θ = 90°
⇛2θ = 90°
⇛θ = 90°/2
⇛θ = 45°
The value of θ = 45°
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(ii)Given series is 2,4,6,8,10...
First term = 2
Common difference
t2-t1 = 4-2=2
t3-t2 = 6-4=2
t4-t3=8-6=2
t5-t4=10-8=2
Common difference = 2
Since the common difference is same throughout the series they are in the AP
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