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
s2008m [1.1K]
3 years ago
10

If sec theta = - √30 / 3, find cos theta. if sin(-theta) = -0.97, find cos (π/2 - theta).

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

You might be interested in
The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0<br><br> true or false
Rasek [7]

Answer:

Yes, \frac{\pi }{2} is a solution

Step-by-step explanation:

Recall that sin(\frac{\pi }{2})=1. By replacing \frac{\pi }{2} in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

2*(sin(\frac{\pi }{2} ))^2-sin(\frac{\pi }{2})-1= 2*(1)^2-1-1=2-2=0

6 0
3 years ago
In a class of 20 students, 9 are female and 15 have an A in the class. There are 2 students who are male and do not have an A in
MrRissso [65]

Answer:

1/20

there are 20 students altogether

Step-by-step explanation:

um I'm not sure

4 0
2 years ago
Find the distance FG between the points F (0,-7) and G (-6,-3) . Round your answer to the nearest tenth, if necessary
Mrrafil [7]

Answer:

7.2

Step-by-step explanation:

7 0
2 years ago
Pleaseee helppp meeeeee
Alinara [238K]
I think its either A or C. Leaning more to A. Do you think you could explain the question just a bit more?
3 0
2 years ago
True or false questions
Bond [772]

Answer:

correct me if i'm wrong but i think

1.False

2.False

3.True

4.True

8 0
3 years ago
Other questions:
  • The assistant manager of a surf shop estimates that 65% of customers will make a purchase. Part A: How many customers should a s
    5·1 answer
  • 24 + 6a + b +3a + b + 3a
    11·1 answer
  • In a survey, adults and children were asked whether they prefer hamburgers or pizza. The survey data are shown in the frequency
    11·1 answer
  • A student wants to construct the inscribed circle of a triangle. What is the first step he/she should take?
    15·2 answers
  • Ken and bill collected 550 stickers together. Ken collected 20% more stickers than bill. How many stickers did ken collect?
    6·2 answers
  • 1. Um prêmio em dinheiro foi dividido entre 3
    8·1 answer
  • A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown co
    13·2 answers
  • A line passes through the point , −48 and has a slope of −5/2
    7·1 answer
  • Please could someone correct this question and give me the explanation and example please
    15·1 answer
  • Anthony graphed the inequality y &lt; -2x + 1 as shown.<br> What error did Anthony make?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!