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
ExtremeBDS [4]
3 years ago
5

If tan theta equals -5/2 and theta is a quadrant II angle, what is cos theta ?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

cos θ = -2/√29

Step-by-step explanation:

tan θ = -5/2, π/2 < θ < π

One method is to draw a triangle with the hypotenuse in quadrant II.  The height of the triangle is 5, and the base is -2.  The hypotenuse can be found using Pythagorean theorem:

c² = a² + b²

c² = (-2)² + (5)²

c = √29

Therefore, cos θ = -2/√29.

Another method is to use one of the Pythagorean identities.

tan²θ + 1 = sec²θ

(-5/2)² + 1 = sec²θ

25/4 + 1 = sec²θ

29/4 = sec²θ

cos²θ = 4/29

cos θ = -2/√29

You might be interested in
PLEASE ANSWER QUICKLY!!!!
solniwko [45]
128 that is the answer yw
6 0
3 years ago
In need help with the answer
gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

                      4

3 0
3 years ago
Twelve boxes of pencils cost $16. Which equation could you use to find the cost per box
zheka24 [161]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ You can use the equation 16 ÷ 12 = 1.33

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

3 0
3 years ago
Read 2 more answers
PLZ ANSWER THIS QUICK! THANK U!!
vampirchik [111]
There is 33 students in the class
4 0
3 years ago
0=-3x+2<br>what is the answer cuz the on the thing I found was 0.6....
madreJ [45]

Answer:

2/3 or 0.6

Step-by-step explanation: Divide both sides by 3



7 0
3 years ago
Other questions:
  • As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If
    11·1 answer
  • Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
    12·1 answer
  • Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2?
    8·2 answers
  • In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations t
    14·1 answer
  • 2 units down
    15·1 answer
  • What is 5m - 3 = -3?
    11·1 answer
  • A Price of a sweater was reduced from $40 to $25. By what percentage was the price of the sweater reduced?
    8·1 answer
  • Prime numbers have
    5·1 answer
  • PLease help me with this.
    14·1 answer
  • Please help me with this asap!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!