RonniI642520 RonniI642520
  • 25-10-2022
  • Mathematics
contestada

Evaluate cos 150° without using a calculator.Ο Α.√32B. 2O C. -1/2OD. -32

Evaluate cos 150 without using a calculatorΟ Α32B 2O C 12OD 32 class=

Respuesta :

RawlinS623290 RawlinS623290
  • 25-10-2022
Answer:

Explanation:

Note that:

[tex]\begin{gathered} cos(A+B)=cosAcosB-sinAsinB \\ cos(150^0)=cos(90+60) \end{gathered}[/tex]

Applying the addition formula given above to cos 150:

[tex]\begin{gathered} cos(150)=cos(90)cos(60)-sin(90)sin(60) \\ \\ cos(150)=0(\frac{1}{2})-1(\frac{\sqrt{3}}{2}) \\ \\ cos(150)=0-\frac{\sqrt{3}}{2} \\ \\ cos \end{gathered}[/tex]

Answer Link

Otras preguntas

What is the simplest form for the product 3/5 •25/36 is?
what is the difference between dividing 16 by 2 and finding the square root of 16
what is 4 over 9 minus 1 over 12 equal simplified?
If4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number find the number Show your work
what is the difference between dividing 16 by 2 and finding the square root of 16
what events happened beforeloyalists left boston and philadelphia?
what events happened beforeloyalists left boston and philadelphia?
what is the difference between dividing 16 by 2 and finding the square root of 16
what is the difference between dividing 16 by 2 and finding the square root of 16
If4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number find the number Show your work