emmanuellailesanmi20
emmanuellailesanmi20 emmanuellailesanmi20
  • 03-03-2021
  • Mathematics
contestada

prove that 1+cot²A=cosec²A​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-03-2021

Answer:

see explanation

Step-by-step explanation:

Consider the left side

1 + cot²A

= 1 + [tex]\frac{cos^2A}{sin^2A}[/tex]

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

= [tex]\frac{1}{sin^2A}[/tex]

= cosec²A

= right side, thus proven

Answer Link

Otras preguntas

How is 3x-y=8 and x+2y=5 solved by combination (addition)?????
A particle travels in a circle of radius 82 cm and with a centripetal acceleration of 4.7 m/s2. How long does the particle take to complete one revolution?
What number is equivalent to 13/2
the length L of a spring is given by L=(3/4)F + 5 where F is applied force. What force F will produce a length of 8?
Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbers.
Describe a pattern in the sequence of numbers. Predict the next number. 1) 1, 2, 6, 24, ___ 2) 0, 3, 8, 15, 24, ___
where does the shadow of the shuttle in space form?
A particle travels in a circle of radius 82 cm and with a centripetal acceleration of 4.7 m/s2. How long does the particle take to complete one revolution?
find the point on the y-axis that is equidistant from (6,1) (-2,-3)
find a common solution for each system of equations: y=3x+5 y=-5x-3