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3 years ago

In right triangle ABC, a = 7, b = 9 and

Mathematics

1 answer:

Lunna [17]3 years ago

3 0

Answer: the answer is 63,ABC

Step-by-step explanation:

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Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and

zzz [600]

Answer:

$\bold{sin(38^\circ)=cos(52^\circ)}$

Step-by-step explanation:

Given that $\triangle KJL$ is a right angled triangle.

$\angle JKL = 52^\circ\\\angle KLJ = 38^\circ$

and

$\angle KJL = 90^\circ$

Kindly refer to the attached image of $\triangle KJL$ in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given $\triangle KJL$ .

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}$ ....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

$cos\theta =\dfrac{Base}{Hypotenuse}$

$cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}$ ....... (2)

By (1) and (2):

sin(38°) $\neq$ cos(38°).

$cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}$ ...... (3)

Comparing equations (1) and (3):

we get the both are same.

$\therefore \bold{sin(38^\circ)=cos(52^\circ)}$

6 0

3 years ago

Rationalize the denominator of each of the following 4 by (root7+root3)

Solnce55 [7]

Answer:

4/(√7 + √3)

Step-by-step explanation:

=> Multiply and divide by (√7-√3)

=> 4(√7 - √3)/((√7 + √3)(√7 - √3)

=> 4(√7 - √3)/((√7)² - (√3)²)

=> 4(√7 - √3)/((7) - (3))

=> 4(√7 - √3)/4

=> √7 - √3

7 0

2 years ago

Read 2 more answers

WILL MARK THE BRAINLEST!

eduard

Okay so the relationship between points K and K' is that you subtract 4 from the x values and you add 6 to the y values.

1 - 4 = - 3

L ( - 3 , 3 ) ==> L' ( - 3 - 4 , 3 + 6 ) ==> L' ( - 7 , 9 )

The only answer option with L' as such is answer choice B.

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0

3 years ago

Read 2 more answers

(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of

ICE Princess25 [194]

Answer:

The length of Side RT of the polygon is $7\ units$