flowerwolf9 flowerwolf9
  • 22-03-2019
  • Mathematics
contestada

verify formula
[tex]sin^2x+tan^2x+cos^2x =sec^2x[/tex]
​

Respuesta :

marco417chan marco417chan
  • 22-03-2019

Answer:

L.H.S=R.H.S

Step-by-step explanation:

L.H.S=sin²x+tan²x+cos²x

        =tan²x+1                                         *** sin²x+cos²x=1 ***

        =[tex]\frac{sin^{2} x}{cos^{2}x } +\frac{cos^{2} x}{cos^{2}x }[/tex]

        =[tex]\frac{sin^{2}x+cos^{2}x}{cos^{2}x }[/tex]

        =[tex]\frac{1}{cos^{2}x }[/tex]

        =sec²x                                   ***[tex]\frac{1}{cos^{2}x }[/tex]=sec²x***

Answer Link

Otras preguntas

The green line below
Can someone give me the answers for these?
The letter X shown above has which type of symmetry? 1. Line Symmetry only 2. Point Symmetry only 3. Point and Line Symmetry 4. No Symmetry
Chemistry 2 Questions
hey! i have a project about spanish culture. could you help me?
Marvin has piece of chain that is 3_5 12 feet long. He uses 2 1_3 feet of the chain for his art project. How much chain does marvin have left? A 1__1 12 feet ,
Can someone help me and solve this in a good way it’s really urgent
Which group did Sam Adams start so that the colonists in various colonies could communicate with each other?
What happens to the atoms in a liquid as it freezes? They gain energy. They begin to move faster. They are held together by attractive forces.
At what point is the car the fastest