sweetboo8719 sweetboo8719
  • 21-10-2019
  • Mathematics
contestada

Prove that
1 / cos(x) − cos(x) = sin(x) ∙ tan(x) for x ≠ ????2 + k, for all integers k.

Respuesta :

jtellezd jtellezd
  • 24-10-2019

Answer:  From the given expression we can get the  fundamental trigonometry identity

Step-by-step explanation:

1 ÷ cos (×) - cos (×) = sin (×) * tan (×)  ⇒

[1 ÷ cos (×) ] - cos (×) = sin (×)* sin(×)/ cos (×)

1/ cos(×) - cos (×) = sin²(×)/cos(×) ⇒cos(×)/cos(×) -cos²(×) = sin²(×)

1 - cos²(×) = sin²(×)

1= cos²(×) + sin²(×)     fundamental trigonometry identity

Answer Link

Otras preguntas

PLEASE HELP!!!!!!!!!!!! what did ancient greeks inherit from homer and pass on to others
How was farming done In the Soviet Union under Stalin
2 ways to tell if there is a proportional relationship
The sequence of letters abcb describes which aspect of a poem? ) A. Meter B. Rhyme C. Rhythm D. Theme
Listed following are characteristics of the atmospheres of Venus, Earth, and Mars. Match each atmospheric characteristic to the appropriate planet.a. almost no
A student records the sexes and breeds of the animals shelter which kind of data is the student recording
10 time as much as25
Who is going to find out what’s wrong with Romeo
True or false: The Mycenaeans became wealthy both by trading with peoples around the Mediterranean and by launching seaborne raids against their neighbors.
(b) A car of mass 3000 kg travels at a constant velocity of 5.0 m/s. Calculate the time it would take a force of 4500 N to accelerate the car to a velocity of 3