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
belka [17]
3 years ago
9

If cos ⁡θ=−8/17 and 180°θ < 270°, what is sin θ?

Mathematics
2 answers:
marissa [1.9K]3 years ago
8 0

Answer:

sinΘ = - \frac{15}{17}

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1

⇒ sinx = ± \sqrt{1-cos^2x}

Since 180 < Θ < 270 then sinΘ < 0

sinΘ = - \sqrt{1-(-8/17)^2}

        = - \sqrt{1-\frac{64}{289} }

        = - \sqrt{\frac{225}{289} } = - \frac{15}{17}

worty [1.4K]3 years ago
6 0
Here is your answer

[I am using ☆ instead of theta]

cos☆= -8/17

{cos}^{2}☆= {(-8/17)}^{2}= 64/289

Now,

sin☆= \sqrt{1-{cos}^{2}☆}

sin☆= \sqrt{1- (64/289)}

sin☆= \sqrt{(289-64)/289}

sin☆= \sqrt{225/289}

sin☆= 15/17

Since, 180<theta<270

so, it must lie in 3rd quadrant.

In third quadrant

sin☆ is -ve

Hence, sin☆= -15/17

HOPE IT IS USEFUL
You might be interested in
Is 25/99 a terminating decimal or a repeating decimal
BartSMP [9]
Repeating; it's .252525252525252525252525
3 0
3 years ago
WILL GIVE BRAINLIEST PLEASE ANSWER ASAP
Wittaler [7]

Answer:

Circle man ez

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The function rule T–4, 6(x, y) could be used to describe which translation?
RSB [31]

Answer: B

Step-by-step explanation: a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

5 0
3 years ago
Read 2 more answers
Please Help asap 40 points
tester [92]

Answer:

Step-by-step explanation:

34 to the 4

7 0
3 years ago
Evaluate -a - 12a^2 for a = -1<br><br> a. -13<br> b. 13<br> c.-11
Gelneren [198K]

C

substitute a = - 1 into the expression

- (- 1) - 12(- 1)² = 1 - (12 × 1 ) = 1 - 12 = - 11 → C


8 0
3 years ago
Read 2 more answers
Other questions:
  • (?,5) is on the line 4x-7y=1. Find the other half of the coordinate.
    12·1 answer
  • Simplify fully<br> 13/2x-5/x
    14·2 answers
  • Can someone please help me solve this
    12·1 answer
  • Solve 112(14−6)−(−4)=−59
    14·1 answer
  • Help please summer school sucks!!!
    11·2 answers
  • PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
    15·2 answers
  • Give the most specific name for the quadrilateral. Explain your reasoning.
    8·1 answer
  • 6. Find the distance between the points (1,4) and (-2, -1).
    13·1 answer
  • Find the Least Common Denominator of the fractions: 3/5 and 27
    14·1 answer
  • This is hard i need help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!