divyacool1 divyacool1
  • 25-06-2017
  • Mathematics
contestada

If sec theta = 2,find 4 cos theta-root 3 sin theta/tan theta

Respuesta :

Аноним Аноним
  • 29-06-2017
cos theta = 1  /sec theta  so  cos theta = 1/2

and 4 cos theta = 4 * 1/2 = 2

sin theta  = sqrt ( 1 - cos^2 theta) = sqrt 1 - 1/4) =   sqrt (3/4) =   sqrt3/2

root 3 sin theta  =  3/2

tan theta = sin theta / cos theta =  sqrt3 / 2 / 1/2  = 2*sqrt3/ 2 = sqrt3

so the answer is    2 -  3/2  / sqrt3  =  1/2 / sqrt3  =  sqrt3 / 6
Answer Link

Otras preguntas

what is 24.534 rounded to the nearest hundredth
Would you obtain the same results if you reacted Al + FeCl2 compared to Al+FeSO4 Would you obtain the same results if you reacted Cu + FeCl2 compared to Cu+FeSO
Luann read 1/3 of 18 books on her reading list. How many books did Luann read? Find 1/3 of 18 books.
A water tank holds 24,000 gallons.How many hours will it take for 2/3 of the water to be used if the water is used at an average rate of 650 gallons per day?
In England, people associate the acceptance of their Bill of Rights with the reign of     A. James II.B. King John.C. William and Mary.D. Edward I.
How do metals on the periodic table tend to achieve the octet rule?
Do you think a mixed number is a rational number? Explain.
What percent of 45 is 52.2? Answer and explain plzz
The measure of an angle is 28 greater than its complement. Find the measure of each angle.
Why did Osama bin Laden leave his home country of Saudi Arabia for Afghanistan?