All categories

3 years ago

Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.

Mathematics

1 answer:

goldenfox [79]3 years ago

7 0

Answer:

-1/√2

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is -1/√2

You might be interested in

Which statement is true?

Lena [83]

Answer:

all rectangles are quadrilaterals

Step-by-step explanation:

this is because they have all right angles it doesn't matter the size or measurements, and this goes for squares as well since squares are a type of rectangle and we all know that squares have all equal side lengths and they all have right angles

3 0

3 years ago

Please help me ASAP I got these wrong and I want you to correct it

Verizon [17]

Answer:

Step-by-step explanation:

see attached for questions 3's answer

8 0

3 years ago

Please this is due in 52 minutes...

timurjin [86]

Answer:

Angle S has a measure of 50°

Step-by-step explanation:

When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)

You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)

6 0

3 years ago

This one is hard for me so can anyone plz help me

nirvana33 [79]

Answer: The distance between a and c is 8 units

Step-by-step explanation:

You can count the number of units they are apart, but if there isn’t a grid, then do this:

If x or y values in the ordered pairs are different, subtract them from each other and find the absolute value of the difference. (It’s my own rule, so there is a better method. My explanation apples only to ordered pairs that share a x or y value, like A and C)

2-(-6) = 8, and the absolute value of 8 is 8

(-6)-2 = (-8), and the absolute value of -8 is 8 (You’ll get the same answer)

7 0

3 years ago

Simplify – 2(7x – 3)

ANTONII [103]

All you need to do here is multiply the outside number by both 7x and -3.

When done correctly it should look like this:

-14x+6

Thats the answer.

7 times 2 gives you 14 but when multiplying mixed signs it turns negative so it would be -14.

negative 3 times negative 2 gives you 6. Both signs are negative, and you would suppose it would turn into a negative but thats only true when both signs are mixed. Both the 3 and the 2 are negative, making the signs the samez giving you positive

Dont forget to make this the brainliest answer to help those in need. also add a 5 star and a heart. thanks for the support hope it helped. have a nice day

5 0

3 years ago