Rearrange terms.

Apply pythagorean identity.

Use the product property of logarithms, <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mi>b</mi></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><msub><mi>log</mi><mrow><mi>b</mi></mrow></msub><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>log</mi><mrow><mi>b</mi></mrow></msub><mrow><mo>(</mo><mi>x</mi><mi>y</mi><mo>)</mo></mrow></mstyle></math> .

Do you know how to Simplify/Condense natural log of |cot(t)|+ natural log of 1+tan(t)^2? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.