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
Harrizon [31]
3 years ago
6

Help please!

Mathematics
2 answers:
Mamont248 [21]3 years ago
7 0

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B

Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1

                                                              cos (π) = -1,   sin (π) = 0    

Use the Quotient Identity:   \tan A=\dfrac{\sin A}{\cos A}

<u>Proof LHS → RHS:</u>

\text{LHS:}\qquad \qquad \dfrac{\cos \bigg(\dfrac{\pi}{2}+x\bigg)}{\cos \bigg(\pi +x\bigg)}

\text{Sum Difference:}\qquad \dfrac{\cos \dfrac{\pi}{2}\cdot \cos x-\sin \dfrac{\pi}{2}\cdot \sin x}{\cos \pi \cdot \cos x-\sin \pi \cdot \sin x}

\text{Unit Circle:}\qquad \qquad \dfrac{0\cdot \cos x-1\cdot \sin x}{-1\cdot \cos x-0\cdot \sin x}

                            =\dfrac{-\sin x}{-\cos x}

Quotient:                 tan x

LHS = RHS \checkmark

frez [133]3 years ago
4 0

Answer:

Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B

Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1

cos (π) = -1, sin (π) = 0

Use the Quotient Identity: \tan A=\dfrac{\sin A}{\cos A}tanA=

cosA

sinA

Proof LHS → RHS:

\text{LHS:}\qquad \qquad \dfrac{\cos \bigg(\dfrac{\pi}{2}+x\bigg)}{\cos \bigg(\pi +x\bigg)}LHS:

cos(π+x)

cos(

2

π

+x)

\text{Sum Difference:}\qquad \dfrac{\cos \dfrac{\pi}{2}\cdot \cos x-\sin \dfrac{\pi}{2}\cdot \sin x}{\cos \pi \cdot \cos x-\sin \pi \cdot \sin x}Sum Difference:

cosπ⋅cosx−sinπ⋅sinx

cos

2

π

⋅cosx−sin

2

π

⋅sinx

\text{Unit Circle:}\qquad \qquad \dfrac{0\cdot \cos x-1\cdot \sin x}{-1\cdot \cos x-0\cdot \sin x}Unit Circle:

−1⋅cosx−0⋅sinx

0⋅cosx−1⋅sinx

=\dfrac{-\sin x}{-\cos x}=

−cosx

−sinx

Quotient: tan x

LHS = RHS \checkmark✓

You might be interested in
Pls I need help.. this is due in a few mins...
Fofino [41]

Answer:

463u

Step-by-step explanation:

to find surface area you multiply things like a*b a*c b*c, but you only need two in this case,you dont need 4.3*14, so it just 4.3*5 and 5*14, multiply those and add em

4 0
2 years ago
The minimum monthly payment for Jason's credit card is 2% of his balance or $20, whichever is higher. If Jason's balance at the
Evgen [1.6K]
1510*0.02=$30.20 which is larger than $20.00. 2%= 0.02
4 0
3 years ago
patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2​
JulsSmile [24]
5 after five turns of patti
8 0
3 years ago
Evaluate the expression when x = 1/2 and y = -2/5. Show all work.<br>1. -x + y<br>2. x +2y
NISA [10]
I am old, so I like to use paper & pencil

4 0
3 years ago
Choose all answers that apply
OlgaM077 [116]

The answer is C.

This is because 7 must be greater than 12-g.

G cannot equal 5 and below because 12-5=7.

Therefore C is the only answer that works.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the missing value.
    6·2 answers
  • Is it possible capture the correlation between continuous and categorical variable?
    12·1 answer
  • A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? NOTE: 1 yard
    8·1 answer
  • X + 59 5/8 = 82 2/3 what is x
    8·1 answer
  • Help plz<br>I need help <br>plz help <br>plz <br>plz
    10·1 answer
  • Tap A can fill 8 pails of the exact capacity in 5 minutes.
    9·1 answer
  • A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Func
    13·1 answer
  • What is the solution set for -4x+10 ≥ 5x+55
    11·1 answer
  • What's the 100th term of 2,4,6,8,10,12,14
    10·2 answers
  • Jenna bought a savings certificate that earned 2% simple interest per year. She earned a total of $100 in interest over 4 years.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!