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Reika [66]
3 years ago
6

The equation tan(x+ pi/3) is equal to

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

The answer is D. I just did it.

OlgaM077 [116]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

We have to solve the trigonometric expression give below.

tan(x+\frac{\pi }{3})

=\frac{tanx+tan\frac{\pi }{3}}{1-tanx.tan\frac{\pi }{3}}

[Since tan(a+b)=\frac{tana+tanb}{1-tana.tanb}]

Now we place the value of tan\frac{\pi }{3}=\sqrt{3}

=\frac{tanx+\sqrt{3}}{1-tanx\sqrt{3}}

Therefore, option D. is the answer.

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Answer the following true or false. Justify your answer.
Anna007 [38]

Answer:

a) False b) False c) True d) True e) True

Step-by-step explanation:

a) If A is a subset of B, and x∈B, then x∈A. False

Suppose A is Z (Set of Integers), and B is R (Set of Real Numbers). Then A is a subset of B. x ∈ B, let's say x equals π. If x ∈ B (B = Real Numbers) and x=π then x ∉ A (Z).

We could call A, any other subset of Real numbers (Q, I,..) and we both would come up to the same conclusion when it comes to Real numbers the Set.

So this conclusion is False. Not always an element of a subset is an element of a set.

b) False

For this one, I've drawn some lines, and it is useful to work with them.

Given the set {(x,y) ∈ R²| 0<x<0} then all negative and positive numbers but zero belong to this set.

c) If A and B are square matrices, then AB is also square. True

Taking into account the rules for multiplying matrices. The number of columns of A must be the same number of lines of B to there can be a matrix product.

Whenever we multiply square matrices, we'll always get square matrices. Then this conclusion is true.

d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S. True

Suppose A= Z (Integer Numbers) and B=Q (Rational Numbers) and S= R (Real Numbers)

A∩B = Z∩Q=∅ and A∪B =Z∪Q = subset

Since the ∅ empty set ⊂ in every set and ZUQ is another Subset of R this is a True conclusion.

e) True. For a matrix A, we define A²= AA

For any Power of Matrices, all we have to do is multiply any given matrix by itself for a given number of times.

M²=M*M

M³=M*M*M

7 0
3 years ago
The shapes below are mathematically simillar ​
Elanso [62]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
zysi [14]

Answer:

the answer is  

Step-by-step explanation:

The proportion of coconut milk in the cocktail is  ml for every 15 ml of orange juice.

Proportion shows the fractional composition of a given quantity or substance.

So that:

orange juice = 15 ml

contents of the orange juice;

apple juice = 25 ml

coconut milk = 10 ml

total              = 35 ml

So that;

the fraction of apple juice in the orange juice =  x 15

                                          =

the fraction of apple juice in the orange juice =  ml

Also,

the fraction of coconut juice in the orange juice =  x 15

                                        =

the fraction of coconut juice in the orange juice =  ml

Therefore, the proportion of the cocktail that is coconut milk is: for every 15 ml of orange juice, then  ml of coconut juice is required.

3 0
2 years ago
Find each difference. Write in simplest form 7/8-5/8=
Ivanshal [37]
7/8-5/8= 2/8 and if you reduce 2/8 by 2 it becomes 1/4. So 1/4 is your answer. Hope This Helps :D
5 0
3 years ago
Can some please help me
qaws [65]

Answer:

i think it is D

3 0
3 years ago
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