If cosecθ=cothx, then the value of tanθ is
coshx
sinhx
tanhx
cosechx
Explanation for the correct option:
Step 1. Simplify the given data:
Here cosecθ=cothx
We will take square of both side of the given equation:
cosec2θ=cot2hx
⇒1+cot2θ=coth2x ∵cosec2θ-cot2θ=1
⇒ cot2θ=coth2x–1
⇒ cot2θ=cosech2x ∵cosech2θ+1=coth2θ
Step 2. Find the value of tanθ
We got, cotθ=cosechx
⇒ tanθ=sinhx
Hence, option (B) is correct answer.