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
EleoNora [17]
2 years ago
11

1. If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. I

f sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer:

1. y = 145  

2. y = 145 and z = 215  

3. y = 180 - x  

4. y = 180 + x and z = 360 - x  

5. y = 360 - x

6. y = 180 - x and z = 180 + x

Step-by-step explanation:

1. siny = sin35

Since sin35 is positive, siny is in the second quadrant.

So siny = sin(180 - 35) = sin35

siny = sin145 = sin35

Since siny = sin145, y = 145

2. cosy = cosz = -cos35

since -cos35 is negative in the second and third quadrant,

cosy = cos(180 - 35) = -cos35 and cosz = cos(180 + 35) = -cos35

cosy = cos145 = -cos35 and cosz = cos215 = -cos35

Since cosy = cos145 and cosz = cos215,

y = 145 and z = 215

3. If siny = sinx and x < 90,

since x < 90, sinx is in the first quadrant and siny is in the second quadrant since it is positive

siny = sin(180 - x) = sinx

Since siny = sin(180 - x)

y = 180 - x

4. siny = sinz = -sinx and x< 90

since -sinx is negative and sine is negative in the third and fourth quadrant respectively, siny and sinz are in the third and fourth quadrant,

siny = sin(180 + x) = -siny and sinz = sin(360 - x) = -sinx

Since siny = sin(180 + x) and sinz = sin(360 - x)

y = 180 + x and z = 360 - x

5. cosy = cosx and x < 90

Since cosx is positive in the first and fourth quadrant, and x is in the first quadrant,

cosy = cos(360 - x) = cosx

cosy = cos(360 - x)

y = 360 - x

6. cosy = cosz = -cosx  and x< 90

since -cosx is negative in the second and third quadrant,

cosy = cos(180 - x) = -cosx and cosz = cos(180 + x) = -cosx

cosy = cos(180 - x) and cosz = cos(180 + x)

y = 180 - x and z = 180 + x

You might be interested in
The area of the above polygon is ?<br>the answer is not 44
vitfil [10]
Check the picture below.

you really have two rectangles, a 6x10 and a 6x5, and surely you know what those areas are, so sum them up, and that's the area of the polygon.

6 0
3 years ago
A realtor earns 1.25%commision on the price of any home she sells last month she sold two homes for a total of $750,000. How muc
TEA [102]

Answer: total amount of money in commission that the realtor earned is $9375

Step-by-step explanation:

The realtor earns 1.25% commission on the price of any home she sells.

Last month she sold two homes for a total of $750,000

It means that the amount of money in commission that the realtor earned last month would be

1.25/100 × 750 000 = 0.0125 × 750000 = $9375

4 0
3 years ago
Read 2 more answers
If a = 14 and b = 14, then a = b.
Simora [160]
I believe this is D. The transitive property
8 0
3 years ago
How do you solve 4836÷12
ANEK [815]
The answer is 403, just try simple long division.
8 0
2 years ago
Read 2 more answers
Simplify 18/5 to get the answer
Inga [223]
5\frac{3}{5}
4 0
3 years ago
Other questions:
  • How to solve a math equation step by step
    10·2 answers
  • Hannah can clear the lot in 5.5 hours. damion can do the same job in 7.5 hours
    15·1 answer
  • Kacey has 88 beads. She uses 24 beads to make a bracelet. How many bracelets can she make?
    9·1 answer
  • A marine called from Korea to say the temperature had risen 16 degrees since the sun came up. If it was 9 degrees Fahrenheit whe
    7·1 answer
  • 1. Greg Forrester's charge account statement showed a previous balance 20 points
    11·1 answer
  • Evaluate the expression (19+9)+(-9)
    13·2 answers
  • Need answers 1-6 this is geometry
    10·1 answer
  • Select the better deal in the pair. Then give the unit rate for the better deal. $43 $61.05 15 gal 10 gal​
    6·1 answer
  • Brainliest to whoever answers first!!!Z'(5, -7) is the image of Z after a reflection
    7·2 answers
  • Please help me i need help!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!