Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the value of (tan 65° - tan 35°) / 1 + tan 65°tan 35°?
0
0 V3/3


Sagot :

Answer:

[tex] \frac{ \sqrt{3} }{3} [/tex]

Step-by-step explanation:

We know that tangent angle addition formula is

[tex] \tan(a - b) = \frac{ \tan(a) - \tan(b) }{1 + \tan(a) \tan(b) } [/tex]

This is in form already. Based on the value, a is 65 and b is 35 so let just subtract that

[tex] \tan(65 - 35) = \tan(30) [/tex]

W e know that tan 30 is

[tex] \tan(30) = \frac{ \sin(30) }{ \cos(30) } = \frac{ \frac{1}{2} }{ \frac{ \sqrt{3} }{2} } = \frac{1}{ \sqrt{3} } = \frac{ \sqrt{3} }{3} [/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.