Indian Navy INET Log Tangent — practice questions

Explore 1 free Log Tangent questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Log Tangent with Quill →

Log Tangent questions and exercises with answers

Showing questions 1–1 of 1.

$\displaystyle\int_0^{\pi/2} \log(\tan x)\, dx = ?$Read the answer and worked solution →

Worked practice questions

$\displaystyle\int_0^{\pi/2} \log(\tan x)\, dx = ?$

$-(\pi/2)\ln 2$
$0$ (by King's symmetry between $\sin$ and $\cos$)
$\pi\ln 2$
$\ln 2$

Show answer and solution

Correct answer: B. $0$ (by King's symmetry between $\sin$ and $\cos$)

$I = \int \log\tan x = \int(\log\sin x - \log\cos x)$. Both pieces equal by King's (previous problem), so the difference is 0.

Open this question →

How to practise

Choose a Log Tangent question and try to work out your answer.
Open the question to check the correct answer and read its worked solution.
Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Indian Navy INET Log Tangent — practice questions

Log Tangent questions and exercises with answers

Worked practice questions

$\displaystyle\int_0^{\pi/2} \log(\tan x)\, dx = ?$

How to practise

More Mathematics topics