Problem

$\left(\frac{\tan A+\sec A-1}{\tan A-\sec A+1}\right)$ is equal to

Answer

Expert–verified
Hide Steps
Answer

\boxed{\frac{-\sqrt{2}\cos(A + \frac{\pi}{4}) + 1}{\sqrt{2}\sin(A + \frac{\pi}{4}) - 1}}

Steps

Step 1 ：Given expression: \(\frac{\tan A + \sec A - 1}{\tan A - \sec A + 1}\)

Step 2 ：Simplified expression: \(\frac{-\sqrt{2}\cos(A + \frac{\pi}{4}) + 1}{\sqrt{2}\sin(A + \frac{\pi}{4}) - 1}\)

Step 3 ：\boxed{\frac{-\sqrt{2}\cos(A + \frac{\pi}{4}) + 1}{\sqrt{2}\sin(A + \frac{\pi}{4}) - 1}}

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More