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
AURORKA [14]
3 years ago
9

Would appreciate some help with this: Verify (sinq+cosq)^2 - 1 = sin2q

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

See Discussion below

Discussion:

(sinq + cosq)^2 =                                     => (a +b)^2 = a^2 + 2ab + b^2

(sinq)^2 + (cosq)^2 + 2 sinq* cosq        => as (sinx)^2 + (cosx)^2 = 1

1 + 2 sinq*cosq              (*)


Setting a = b = q in the trig identity:

sin(a+b) = sina*cosb + cosa*sinb                      

sin(2q) =                      (**)

sinq*cosq + cosq*sinq      => as both terms are identical

2 sinq*cosq


Combining (*) and (**)

(sinq + cosq)^2 = 1 + 2sinq*cosq     => (**) 2sinq*cosq =  sqin(2q)

                          = 1 +  sin(2q)

Hence

(sinq + cosq)^2  = 1 +  sin(2q)            => subtracting 1 from both sides

(sinq + cosq)^2  - 1 =   sin(2q)  

The last statement is what we are trying to prove.



Thank you,

MrB

You might be interested in
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15
kherson [118]

Answer:

45,42,126

multiply by 3

6 0
3 years ago
18. Chicken patties are sold in packs of 8. Buns are sold in packs of 10. What is the least number of chicken patties & buns
Nikitich [7]

5 packages of patties = 40

4 packages of buns =40

4 0
2 years ago
Read 2 more answers
Rebecca leaves home to go to work. She walks the first 5 minutes and then increases her speed until she gets to work. Which grap
VashaNatasha [74]

Answer:

Step-by-step explanation:

I believe that this is the answer.

8 0
2 years ago
Read 2 more answers
Pizza-By-The-Slice sells 7 slices every 10 minutes on average. How many
Dvinal [7]
I think you’re answer is 42 slices of pizza.

the way i worked it out is by finding out how many minutes are in an hour (60 mins). after that i divided it by 10(mins), which would have gotten me 6. therefore i multiplied 7 x 6 which gave me 42.
3 0
2 years ago
Read 2 more answers
Please help I will mark brainliest
klasskru [66]

Answer: Tyrone has 28 mystery novels.

Step-by-step explanation:

Divide 42 by 3 to get 1/3 of the books he has.

42/3 = 14

14 * 2 = 28

28 = 2/3 of his books

7 0
3 years ago
Other questions:
  • Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
    13·1 answer
  • What is the LCM of 6, 5, and 3?
    8·2 answers
  • Which of the following is a list of all the factors of 24? A. 1, 2, 3, 4, 5, 6, 8, 12, 24 B. 1, 2, 3, 4, 6, 8, 12, 24 C. 2 × 2 ×
    6·1 answer
  • Divide decimals 1.52 / 1.9
    5·2 answers
  • Find the slope of the line. <br><br> A. 1/7<br><br> B. - 1/7<br><br> C -7<br><br> D. 7
    8·1 answer
  • Which monomial is a perfect cube?
    8·2 answers
  • What is the quadratics formula?
    15·2 answers
  • Who is able to type a minimum of 95 words every 2 minutes?
    13·1 answer
  • Help this is urgent pls help ​
    8·1 answer
  • Select the correct answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!