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3 years ago

Using trig identities, prove the equation shown below.

Mathematics

1 answer:

qaws [65]3 years ago

6 0

Answer:

Step-by-step explanation:

Prove that

sec(x) - sin(x)tan(x)=cosx

sec(x)=1/cos(x) tan(x)=sin(x)/cos(x)

1/cos(x) - sin(x) x sin(x)/cos(x)

(1-sin(x) x sin(x))/cos(x)

(1-sin^2(x))/cos(x) 1-sin^2(x)=cos^2(x)

Cos^2(x)/cos(x)

(Cos(x) x cos(x))/cos(x)

cos(x) proved

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a garden pond is in the shape of a rectangle that measures 5 m by 3 m. a stone path is built all around the pond. this path is t

Inessa [10]

Answer:

<u>1.16 m (approximately)</u>

Step-by-step explanation:

Let x be the width of the path.

Total area = (5+2x)(3+2x) = 39

Expand and simplify

4x²+ 16x+15-39 = 0

4x² + 16x - 24 = 0

Simplify

x² + 4x -6 = 0

Rational factoring does not work, so use quadratic formula

x = +/- sqrt(10) -2

= 1.16 or -5.16 (reject)

= <u>1.16 m (approximately)</u>

4 0

3 years ago

I have no idea how to do this.

Anastasy [175]

The trick to solving problems with mixed units is to convert all of them into one unit or another, so:

There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.

To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2

7 0

3 years ago

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS ANSWER THE QUESTION WITH A STEP BY STEP EX

Marina CMI [18]

i think the correct answer is C

5 0

2 years ago

Read 2 more answers

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu

V125BC [204]

Answer:

$\frac{^3C_1\times ^4C_1}{^{12}C_2}$

Step-by-step explanation:

Given,

Art electives = 3,

History electives = 4,

Computer electives = 5,

Total number of electives = 3 + 4 + 5 = 12,

Since, if a student chooses an art elective and a history elective,

So, the total combination of choosing an art elective and a history elective = $^3C_1\times ^4C_1$

Also, the total combination of choosing any 2 subjects out of 12 subjects = $^{12}C_2$

Hence, the probability that a student chooses an art elective and a history elective = $\frac{\text{Total combination of choosing an art elective and a history}}{\text{ Total combination of choosing any 2 subjects}}$

$=\frac{^3C_1\times ^4C_1}{^{12}C_2}$

Which is the required expression.

3 0

3 years ago

Read 2 more answers

Find the greatest common factor of the following monomials: 12x^3 18x^2 6x^4

Diano4ka-milaya [45]

find the prime factors in each term to find the GCF

answer is 6x^2

4 0

3 years ago