1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harman [31]
3 years ago
11

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

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0
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
You might be interested in
Solve the value of y for the given values of x: 4x = 3y - 7; x= 4,5,6
julia-pushkina [17]
Thhe easiest way would be to solve for y first
4x=3y-7
add 7
4x+7=3y
divide both sides by 3
(4x+7)/3=y

try each
x=4
(4(4)+7)/3=y
(16+7)/3=y
(23)/3=y
7 and 2/3=y
(4,7.66666)


x=5
(4(5)+7)/3=y
(20+7)/3=y
(27)/3=y
9=y
(5,9)

x=6
(4(6)+7)/3=y
(24+7)/3=y
(31)/3=y
10 and 1/3=y
(6,10.333)



(4,7.66666)
(5,9)
(6,10.333)

when x=4, y=7 and 2/3
when x=5, y=9
when x=6, y=10 and 1/3



5 0
3 years ago
Read 2 more answers
Find three solutions of the linear equation 3x – 5y =7
m_a_m_a [10]

Answer:

Those value satisfy the equation are solution

So, (0,7/5), (7/3,0) , (9,4) are the solution

7 0
3 years ago
Read 2 more answers
1. A motorboat leaves a harbor and travels at an average speed of 15 mph toward an island. The average speed on the return trip
jenyasd209 [6]

Answer:

  30 miles

Step-by-step explanation:

Let d represent the distance to the island. The relation between time, speed, and distance is ...

  time = distance/speed

so the total time for the round trip is ...

  d/15 +d/10 = 5

Multiplying by 30, we get

  2d +3d = 150

  d = 150/5 = 30

The island was 30 miles from the harbor.

5 0
3 years ago
Simplify the expression 4+ (-2)^3.<br><br><br> -12<br> 12<br> -4<br> -2
Setler [38]

Answer:

-4

Step-by-step explanation:

4+ (-2)^3

-2 *-2*-2 = -8

4 + -8

-4

4 0
3 years ago
Read 2 more answers
The formula for finding the length of an arc on a circle is L=277 (1360), where r is the radius of the circle and x is the measu
kari74 [83]

Answer:

I don't know the answer I'm sorry.

8 0
3 years ago
Other questions:
  • Where does 0.09 go on a number line
    8·2 answers
  • How do I solve for q.
    10·2 answers
  • Plot J(-2,8), K(0,8), L(1,0), and M(1,-2) in a coordinate plane. Then determine whether JK and LM are congruent. A. Cannot be de
    14·1 answer
  • What would the diagram look like
    5·1 answer
  • Why is triangle ABL ≃ triangle BAE?<br> A. SSS<br> B. SAS<br> C. ASA
    9·1 answer
  • What is defined using the undefined terms point and line?
    14·1 answer
  • Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Which inequality re
    7·2 answers
  • Erite an equation and solve for x if the area of the rectangle is 55 square units
    8·1 answer
  • What is the length of the apothem of the regular pentagon shown below? Round to one decimal place
    8·1 answer
  • You must arrange for a rental as you need reliable transportation to get to class, your job, and other commitments you have thro
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!