meredith48034
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find the value of tan Θ is sin Θ = 1/2 90° ≤ Θ ≤ 180°

a. -√3/2
b. -√3/3
c. √3/2
d. √3/3

Sagot :

sqdancefan

9514 1404 393

Answer:

  b.  -√3/3

Step-by-step explanation:

From your knowledge of the values of trig functions of special angles, you know sin(30°) = 1/2. For an angle in the second quadrant, this means the reference angle is 30° and the actual angle measure is 180° -30° = 150°.

The corresponding value of the tangent function is -√3/3, negative in the second quadrant.

View image sqdancefan

Answer:

sin theta=p/h=1/2 let p=1k and h=2k

tan theta=p/b=1k/(√(2k)²-k²)=1k/k√3=1/√3

=tan 30

therefore theta =30°

your answer is 1/√3=√3/3

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.