angelicagrullon1 angelicagrullon1
  • 06-05-2022
  • Mathematics
contestada

Prove: ln |tan θ| = ln |sin θ| − ln | cos θ|

Respuesta :

s1m1
s1m1 s1m1
  • 06-05-2022

Answer:

Step-by-step explanation:

We use the law of logarithms that says log A - log B = log (A/B)

ln |sin θ| − ln | cos θ| =  ln |sin θ/ cos θ|

We use that the tan A = sin A/cosB

ln |sin θ/ cos θ| = ln |tan θ|

ln |tan θ| = ln |sin θ| − ln | cos θ|

ln |tan θ| = ln |sin θ/ cos θ|

ln |tan θ| = ln |tan θ|

Answer Link

Otras preguntas

is 5.1 x 10^-8 in scientific notation?
how did advanced weaponry help europe during new imperialism
Achievements of the Harappan civilization included all of the following except _____ .
Express 17.16 as a mixed number in lowest terms
Which form of energy is especially important for living things? Why?
The term pressure most nearly refers to which of the following? A. another term for density B. a property of water near the ocean bottom C. force per area creat
Which of the following describes why wetlands are important to the water cycle? A.Dense vegetation helps filter out pollutants in the water. B.Open meadows help
Which of the following nations are members of the Organization of Petroleum Exporting Countries (OPEC)? Saudi Arabia United Kingdom Red China Venezuela
Johnathon can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour
Subtract the quotient of 15 ÷ 3 from the sum of 33 and 7.