DracoI184044 DracoI184044
  • 03-11-2022
  • Mathematics
contestada

If tan A = 21/20 and cos B = 28/53 and angles A and B are in Quadrant I, find the valueof tan(A - B).

Respuesta :

KhilynnO351844 KhilynnO351844
  • 03-11-2022
[tex]\begin{gathered} \tan (A-B)=\frac{\tan A-\tan B}{1+\tan A\tan B} \\ \tan A=\frac{21}{20} \\ \text{tan B=?} \\ \text{cosB}=\frac{28}{53} \\ b=28 \\ h=53 \\ h^2=p^2+b^2 \\ p^2=53^2-28^2 \\ p^2=(53+28)(53-28) \\ p^2=81\times25 \\ p=\sqrt[]{2025} \\ p=45 \\ \tan B=\frac{45}{28} \\ \tan (A-B)=\frac{\frac{21}{20}-\frac{45}{28}}{1+\frac{45}{28}\times\frac{21}{20}} \\ =\frac{1.05-1.607}{1+1.05\times1.607} \\ =-\frac{0.557}{2.687} \\ =-0.207 \end{gathered}[/tex]

Answer Link

Otras preguntas

..............................
differences between regolith and bedrock in 5 points​
Watch help video Which value of x satisfies the equation
GIS software produces blank representations of blank
The diagram below shows a high school pool with a length of 50 m. A member of swim team swims five lengths of the pool: from X to Yfrom Y to X, from X to Y agai
What is main Massage of malala's speech?(education first)
Which outcome is a direct result of hydrogen bonding?
(20/2 + 4)/2 ^^^ I NEED A EQUATION LIKE THAT BUT FOR IT TO EQUAL 16
Which of the following is the best version of the underlined portion of sentence 2?
Addition prop of equality subtraction prop of quality multiplication prop of equality Division prop of equality simplifying distrib prop