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
k0ka [10]
3 years ago
8

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0
We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x

Hence:

\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
You might be interested in
Can you assist? I really need this one​
Marianna [84]
C , 26.



I think I’m right but let me know if it’s wrong!!! I hope I helped
7 0
2 years ago
Translating mathematical statements in English into logical expressions. info About Consider the following statements in English
arsen [322]

Answer:

See below

Step-by-step explanation:

(a) There is a number whose cube is equal to 2.

\large \exists x \in \mathbb{R}\;|\;x^3=2

(b) The square of every number is at least 0.

\large \forall x\in \mathbb{R},\;x^2\geq 0

(c) There is a number that is equal to its square.

\large \exists x \in \mathbb{R}\;|\;x^2=x

(d) Every number is less than or equal to its square.

\large \forall x\in \mathbb{R},\;x\leq x^2

(By the way, this last statement <u>is not true</u> when 0 < x < 1)

3 0
3 years ago
Calculate the area of the triangle with the following vertices. Include the matrix with your work. (-5, 1), (2, 9), and (-5, 9)
stepan [7]

Answer:

good luck :)

Step-by-step explanation:

8 0
2 years ago
Of the last 16 trains to arrive at Yardley Station, 14 were on time. What is the experimental probability that the next train to
Mama L [17]

Answer:

The experimental probability that the next train to arrive will be on time is P(T) = \frac{14}{16} = 0.875

Step-by-step explanation:

Experimental Probablity is based on the experiments which we have performed in the past. In this case, of the total number of trains (16), the total number of trains which arrived on time is (14). So the probablity tat the next train to arrive will be on time would be calculated as:

= \frac{14}{16}

= 0.875

4 0
3 years ago
Please Help....................................
Olegator [25]
The juice drink that is the most popular with customers is Lemon Lift
8 0
3 years ago
Other questions:
  • An NBA basketball court is a rectangle that is 94 feet by 50 feet. A high school basketball court is a rectangle that is 84 feet
    9·1 answer
  • What is (4p-1) squared
    12·1 answer
  • What is the end behavior of the function f(x)=23x3 ?
    11·1 answer
  • Plz help my daughter she can't figure it out plz help her
    7·1 answer
  • Write two additional equations that are equivalent to: 3x - 5 = 2x + 1
    13·1 answer
  • Decide which of the following represent true statements about the nature of set. For any that are false, provide a specific exam
    6·1 answer
  • Is 10.01 equal to 10.001
    14·1 answer
  • Please help me bc idkkkkk​
    15·1 answer
  • Write a linear equation that is parallel to y=-x-4 and passes through the point (8,-9).
    12·1 answer
  • Help please IM TIMED 50POINTS AND BRAINLIEST How is the product of 4 and 2 shown using integer tiles?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!