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
GenaCL600 [577]
3 years ago
8

How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks

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

Answer:

\huge \theta  =7°

Step-by-step explanation:

tan( \theta + 16 \degree) =  \frac{1}{tan( \theta + 60 \degree) }  \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta  -  60\degree \\ \theta +\theta  = 30 \degree - 16\degree \\2 \theta  = 14 \degree  \\ \theta  =  \frac{14 \degree}{2}   \\   \huge \red{ \boxed{\theta  =7 \degree}}

You might be interested in
Sinplify this expression -3(10x+4y)+6(6x-2y)
ad-work [718]

Answer:

6x-24y

Step-by-step explanation:

Step 1: -30x-12y+36x-12y

Distribute-3 to 10x and 4y

Then distribute 6 to 6x and -2y

Step 2: 6x-24y

After that add up like terms

3 0
3 years ago
Sandy made 8 friendship bracelets she gave 1 bracelet to her best friend and 5 to to her friends in the tennis team
Oduvanchick [21]

Answer:

2

Step-by-step explanation:

1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8

8/8-6/8=2/8

8 0
4 years ago
A rectangular patio measures 20 feet by 30 feet. By adding x feet to the width and x feet to the length, the area is doubled. Fi
Mariana [72]

Answer:

2400sq ft

Step-by-step explanation:

20×2 and 30×2

40×60

2400 sq ft

3 0
3 years ago
Read 2 more answers
If r=5(12,80) what the given radius and center
Mashutka [201]
I thik the answer is 64
6 0
3 years ago
At a sale, shirts were sold for $15 each. This price was 80% of their original price. What was the original price?
slava [35]

Answer:

12 dollars 80% divided by 15 dollars

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Need help. Every equation I’ve thought of ends up not working out.
    11·1 answer
  • Please help my solve this
    7·1 answer
  • The table shows Jose's rate of bicycle riding.
    6·2 answers
  • The perimeter of a triangle is 240. Its sides are proportional to 3:4:5. The largest side of the triangle is
    8·1 answer
  • Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
    9·1 answer
  • Can someone please help
    5·1 answer
  • So there is 400 student and 12% kids want to be athletes how many kids want to be athlete?
    7·1 answer
  • Find the point P on the graph of the function y=√x closest to the point (9,0)
    6·1 answer
  • SOLVE: 1/2 x 1/5 = *
    11·2 answers
  • PLEASE HELP<br> Find the set A U ∅<br> U={1,2,3,4,5,6}<br> A={3,4,5,6}
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!