If tan(α) = 512512 and sin(β) = 3535, where α and β are acute angles, calculate the value of tan(α - β).

Question

If tan(α) = 512512 and sin(β) = 3535, where α and β are acute angles, calculate the value of tan(α - β).
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Solution 1

To solve this problem, we can use the formula for the tangent of the difference of two angles, which is:

tan(α - β) = (tan(α) - tan(β)) / (1 + tan(α)tan(β))

Given that tan(α) = 512/512 = 1 and sin(β) = 35/35 = 1, we can find the value of tan(β) using the Pythagorean identity sin²(β) + cos²(β) = 1. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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