mayadevimaharjan88 mayadevimaharjan88
  • 02-07-2020
  • Mathematics
contestada

if cos2A=11/25, show that cosA=6/5√2​

Respuesta :

tonb
tonb tonb
  • 02-07-2020

Answer:

it is not I think...

Step-by-step explanation:

Using the identity

[tex]\cos(2a) = 2 \cos^2(a) - 1[/tex]

We can solve:

[tex]2 \cos^2(a) - 1 = \frac{11}{25}[/tex]

[tex]2 \cos^2(a) = \frac{36}{25}[/tex]

[tex]\cos^2(a) = \frac{18}{25}[/tex]

[tex]\cos(a) = \sqrt \frac{18}{25}[/tex]

[tex]\cos(a) = \sqrt{ 2 \cdot \frac{3^2}{5^2} }= \frac35 \sqrt 2[/tex]

So whoever asked the question forgot the factor 2!!!

Or did I miss anything??

Answer Link

Otras preguntas

What number is half way between 170,000 and 180,000?
The agricultural revolution led to the need for organized a. greenhouse gas reform b. Technological reform c. Government d. Pest Control
Which of these professionals most directly uses geometry? a. criminal lawyer b. language interpreter c. opera singer d. medical imaging specialist
7 less than twice a number k expression
What is the difference between flat, static, dynamic, and round characters?
Is 0.3333 a rational number and why
The Virginia Company wanted to find a route to the Pacific Ocean in order to trade with
Why do some people doubt that Shakespeare is the actual author of the plays attributed to him? a. Shakespeare was too busy being an actor to have written them.
what effect did the geography of ancient greece have on its early development
3.28 times what give you 9.84