If x = loge [ cot((π/4) + θ)] and θ ∈ ((-π/4), (π/4)) , then consider the following statements: I: cosh x = sec 2θ II: sinh x = - tan 2 θ Then which one of the following options is true?

Question

If x = loge [ cot((π/4) + θ)] and θ ∈ ((-π/4), (π/4)) , then consider the following statements: I: cosh x = sec 2θ II: sinh x = - tan 2 θ Then which one of the following options is true? (A) I is true and II is false (B) I is false and II is true (C) Both I and II are true (D) Both I and II are false

Tardigrade Admin · Accepted Answer

Correct answer is (c) Both I and II are true

Q. If x=loge​[cot(4π​+θ)] and θ∈(4−π​,4π​), then consider the following statements : I : coshx=sec2θ II: sinhx=−tan2θ Then which one of the following options is true?

I is true and II is false

I is false and II is true

Both I and II are true

Both I and II are false

Correct answer is (c) Both I and II are true

Q. If $x = lo g_{e} [cot (\frac{π}{4} + θ)]$ and $θ \in (\frac{- π}{4}, \frac{π}{4})$ , then consider the following statements :
I : $cosh x = sec 2 θ$
II: $sinh x = - tan 2 θ$
Then which one of the following options is true?