Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If tan( π π cos θ θ ) = cot( π π sin θ θ ), then the value of cos( θ θ - π π /4) is (are)
A
1/2
B
1/ 
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
We have tan( π π cos θ θ ) = cot( π π sin θ θ ) ⇒ ⇒ tan( π π cos θ θ )
= tan( π π /2 - π π sin θ θ )
⇒ ⇒ π π cos θ θ = ( π π /2 - π π sin θ θ ) + n π π , n ∈ ∈ z
⇒ ⇒ cos θ θ + sin θ θ = 
+ n , n ∈ ∈ z
⇒ ⇒ 
cos θ θ + 
sin θ θ = 
, n ∈ ∈ z
⇒ ⇒ cos 
= 
, n ∈ ∈ z
⇒ ⇒ cos 
= ± ± 
( for n =0 and n = -1)
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