Question : If $ an heta-\cot heta=4$, then find the value of $ an ^2 heta+\cot ^2 heta$.
Option 1: 16
Option 2: 20
Option 3: 14
Option 4: 18

Question

Question : If $ an heta-\cot heta=4$, then find the value of $ an ^2 heta+\cot ^2 heta$.

Option 1: 16

Option 2: 20

Option 3: 14

Option 4: 18

Team Careers360 · Accepted Answer

Correct Answer: 18

Solution : $ an heta-\cot heta=4$
Squaring both sides,
⇒ $ an^2 heta + \cot^2 heta - 2 an heta \cot heta = 16$
⇒ $ an^2 heta + \cot^2 heta = 16+2$
$ herefore an^2 heta + \cot^2 heta = 18$
Hence, the correct answer is 18.

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Question : If tan⁡θ−cot⁡θ=4, then find the value of tan2⁡θ+cot2⁡θ.Option 1: 16Option 2: 20Option 3: 14Option 4: 18

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Question : If $\tan θ - \cot θ = 4$ , then find the value of $\tan^{2} θ + \cot^{2} θ$ .
Option 1: 16
Option 2: 20
Option 3: 14
Option 4: 18