All categories

3 years ago

Simplify cos5cos40-sin5cos40

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

galben [10]3 years ago

3 0

Answer:

cos(5)cos(40) - sin(5)cos(40) = cos(45) = √(2)/2

Step-by-step explanation:

One of the trig identity (Angle Sum/Difference Identity) is:

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

We're given: cos(5)cos(40) - sin(5)cos(40)

In this case, α=5 and β=40

Plug it into you're equation

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

cos(5 + 40) = cos(5)cos(40) - sin(5)cos(40)

cos(5 + 40) = cos(45) = √(2)/2

You might be interested in

Stephanie wants to buy s tomato plants.

max2010maxim [7]

Answer:

Required Expression : 7·(s + d) - 25

Step-by-step explanation :

Cost of each plant both buys = $7

No. of plants Stephanie wants to buy = s

Total cost of plants bought by Stephanie = 7·s

No. of plants Diego wants to buy = d

Total cost of plants bought by Diego = 7·d

Total cost = 7·s + 7·d

= 7·(s + d)

Discount applied through coupon = $25

So, Total cost of all their plants with discount = 7·(s + d) - 25

4 0

3 years ago

Text me the answer please

svetoff [14.1K]

P(4)= 1/8

This is because there are 8 equal parts and 4 is just one of those 8 parts.

8 0

3 years ago

Read 2 more answers

Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre

anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

$\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}$

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

$8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}$

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0

3 years ago

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the

ryzh [129]

Answer:

in steps

Step-by-step explanation:

DE // BC

m∠ADE = m∠ABC and m∠AED = m∠ACB

∴ ΔADE similar to ΔABC

AB/AD = AC/AE

(AD + DB) / AD = (AE + EC) / AE

AD/AD + DB/AD = AE/AE + EC/AE

1 + DB/AD = 1 + EC/AE

DB/AD = EC/AE (AD/DB = AE/EC)

7 0

3 years ago

What are the relationships between inscribed, central, and circumscribed angles of a circle?

Delicious77 [7]

Answer:

Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2

Step-by-step explanation:

PA BRAINLIEST

8 0

2 years ago