All categories

3 years ago

Prove the following

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

Step-by-step explanation:

sin(180°-∅)=sin∅ as its in the 2nd quadrant

then tan(180°-∅)= -tan∅ as its in the 2nd quadrant and there only sin and cosec is positive and at last cos(180°-∅) = -cos∅ for the same reason

so by putting the values:

sin∅/sin∅ + -tan∅/tan∅ + -cos∅/cos∅ =1-1-1= -1

thanks ..

You might be interested in

A(n)=-14+3(n-1)(2)<br> find A(9)

Romashka [77]

Answer: 34

Step-by-step explanation:

Substitute n with 9

-14+3(9-1)(2)

-14+3(8)(2)

= 34

7 0

2 years ago

For what values of N will the product 3n be less than 50

Butoxors [25]

3n<50

n<50/3

The variable N represents a whole number.
For what values of n will the sum of n+3 be less than 50?

6 0

3 years ago

Read 2 more answers

a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2

skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points $(x_1 , y_1)$ and $(x_2 , y_2)$ is given as:

$\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y$

Given that slope "m" = 3

Substituting the values we get,

$\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}$

Thus the y-coordinate is 16

8 0

3 years ago

A bank account has a beginning of 560.00. After 6 months, the balance in the account has increased to 572.60. What interest rate

MaRussiya [10]

This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.

572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months

(This problem assumes the interest will stay the same the next 6 months)

We need to find what percent 25.20 is to our original balance.

25.20/560 = x / 100

2520 = 560x

x = 4.5 percent interest

Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)

4 0

4 years ago

Use two unit multipliers to convert 15000 square centimeters to square meters

Arte-miy333 [17]

<span>1000 cm^2(1 meter/100 cm)(1 meter/100 cm) = 1000/(100)^2 square meters

= 1000/10000 sq. meters = 1/10 sq. meters</span>

8 0

3 years ago

Prove the following​

Prove the following