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WINSTONCH [101]

3 years ago

5

Brainliest to right answer check all that apply

1 answer:

Alisiya [41]3 years ago

7 0

Answer:

The Answer is gonna be Reflected Across the x-axis

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The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which func

katrin2010 [14]

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ( $\frac{1}{3},\frac{1}4$ ).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A( $\frac{1}{3},\frac{1}4$ )

Let O be the origin i.e. (0,0)

Point B will be ( $\frac{1}{3},0$ )

Now, let us consider the right angled triangle $\triangle OBA$ :

Sides:

$Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}$

Using Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}$

$sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}$

$cos\angle AOB = \dfrac{Base}{Hypotenuse}$

$\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}$

$tan\angle AOB = \dfrac{Perpendicular}{Base}$

$\Rightarrow tan\angle AOB = \dfrac{3}{4}$

$cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}$

$\Rightarrow cosec\angle AOB = \dfrac{5}{3}$

$sec\angle AOB = \dfrac{Hypotenuse}{Base}$

$\Rightarrow sec\angle AOB = \dfrac{5}{4}$

$cot\angle AOB = \dfrac{Base}{Perpendicular}$

$\Rightarrow cot\angle AOB = \dfrac{4}{3}$

3 0

3 years ago

If-2a > 6, then<br> -a>3<br> -a<3<br> -a<-3<br> -a>-3

chubhunter [2.5K]

Answer:

a < - 3

Step-by-step explanation:

Given

- 2a > 6

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus

a < - 3

5 0

3 years ago

Dylan wants to buy both the tablet and

nignag [31]

Answer:

108$

Step-by-step explanation:

6 0

3 years ago

Find x<br><br> picture listed

never [62]

Answer:

x = 15

Step-by-step explanation:

A full circle = 360°

Therefore,

(8x - 10)° + (6x)° + (10x + 10)° = 360°

Solve for x

8x - 10 + 6x + 10x + 10 = 360

Add like terms

24x = 360

Divide both sides by 24

x = 360/24

x = 15

5 0

3 years ago

Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3

madam [21]

Answer:

3x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers