Find the exact value of cos(135) and sin(135).

Answers

Answer 1

Answer: To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Answer 2

Answer:

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

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A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of spade or an ace (ii)a red king (iii)neither a king nor a queen (iv)either a king or queen.Thank you.

Answers

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Using a twenty sided number cube, what is the probability that you will roll an even number or odd prime number? the number 1 isnt an odd prime. round to three decimals. A) 0.85
B) 0.8
C) 0.9
D) 0.75

Answers

0.85 is the probability that you will roll an even number or odd prime number

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

A twenty-sided number cube has 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and 7 odd prime numbers (3, 5, 7, 11, 13, 17, 19).

To find the probability of rolling an even number or an odd prime number

We need to calculate the total favorable outcomes (even numbers and odd prime numbers) divided by the total possible outcomes (numbers 1 to 20).

Total favorable outcomes = 10 (even numbers) + 7 (odd prime numbers) = 18

Total possible outcomes = 20

Probability = Total favorable outcomes / Total possible outcomes = 17 / 20 = 0.9

Hence, 0.85 is the probability that you will roll an even number or odd prime number

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Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

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Answers

we have

$f(x) = x^(5) -9x^(3)$

using a graph tool

see the attached figure

in the graph observe that

As x goes to negative infinity-------> f(x) decreases

and

As x goes to positive infinity-------> f(x) increases

therefore

the answer is

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.

Answer:

2nd question is A,B,D and 3rd question is crosses

Step-by-step explanation:

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Answers

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A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.
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Answers

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3 feet= 36 in.; 4 feet=48 in.

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AB←→ and CD←→ are parallel. If EF = a units, what is the measure of GH¯¯¯¯¯?

Answers

Using the information given in the question, no answer is possible.
You haven't given us enough information to know whether EF or GH
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Answer:

The answer is A units

Step-by-step explanation:

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