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

Which of these professionals most directly uses geometry? a. criminal lawyer b. language interpreter c. opera singer d. medical imaging specialist
name two different numbers that round to 8.21 rounded to the nearest hundred
What sacred writings describe the early history of the Hebrews?
Which equation could be used to solve the problem? The Jensens drove 400 miles in 8 hours. How many miles per hour did they drive (m)? a. m = 400 miles • 8 hou
What map element shows the directions north, south, east and west?
a set of chemical reactions within an organism
THE AVERAGE DISTANCE FROM THE SUN TO VENUS IS 67,237,910 MILES. THE AVERAGE DISTANCE FROM THE SUN TO EARTH IS 92,955,807. WHICH STATMENT IS TRUE? A. THE VALUE O
What is the oldest form of biotechnology? selective breeding hybridization cloning recombinant DNA
Round 845,001 to the nearest thousand
Which of these elements has four valence electrons