uhhhhh98 uhhhhh98
  • 01-01-2022
  • Mathematics
contestada

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

Respuesta :

Аноним Аноним
  • 01-01-2022

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]

Answer Link

Otras preguntas

Create a single list that contains the following collection of data in the order provided: [1121, "Jackie Grainger", 22.22, 1122, "Jignesh Thrakkar", 25.25, 112
Why was Caesar assassinated? * pick one*
So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ! I NEED IT BY JUNE 41. Lifeguard
find the value of 1÷3x when X=1​
I need the big brain help and maybe mark brainliest:)
Which option below is NOT a problem-focused coping strategy?A.Time ManagementB.Fighting ProcrastinationC.Taking care of yourselfD.Putting it off until tomorrow​
how much interest is earned on $1470 at 4% for six months
what is the answer please im in a hery
People disagree whether the United States should have gone to war against Mexico. Should the United States have declared war? Explain your claim with at least t
Why was pandora given her name?