1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetlanka [38]
3 years ago
5

Prove the identity: [(tanx)/(1-cosx) ] = [(cscx)(1+secx)]

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0
tan x / ( 1 - cos x ) =
= \frac{ \frac{sinx}{cosx} }{1-cos x}= \\ = \frac{sin x}{( 1 - cos x ) cos x}* \frac{1+cosx}{1+cos x}= \\  =\frac{sin x(1+cos x)}{sin^{2} xcos x}= \\  =\frac{1+cos x}{sin x cos x}= \frac{1}{sin x}* \frac{1+cos x}{cos x}= \\ =csc x *(1+ \frac{1}{cos x})=
= csc x * ( 1 + sec x )
( correct )
You might be interested in
The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions o
inysia [295]

Answer:

length = 11 yard

width =  5 yard

Step-by-step explanation:

Area of a rectangle = L W

where A = 55 yard

           L = 3W - 4

find: Length

        width

solution:

A = L W

55 = (3W - 4) W

55 = 3W² - 4W

3W² - 4W - 55 = 0

use quadratic equation to solve for W:

W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>

                    2(3)

W = 5,  W = -11/3

substitute W=5 to equation L = 3W - 4 to solve for L

L = 3W - 4

L = 3(5) - 4

L = 15 - 4

L = 11

therefore, the dimensions of a rectangle:

length = 11 yard

width =  5 yard

6 0
3 years ago
What’s the answer ??????
LekaFEV [45]
I believe x=2 because 6x=2x+8
3 0
3 years ago
18 x 13 - 8 + 1,387 - 5,800,732,812 x 65
Mars2501 [29]

Answer:

(18x13)-8+1387-(5,800,732,812x65)= -377047631167

Step-by-step explanation:

3 0
2 years ago
Expressions cannot _____.
Gwar [14]
Expressions cannot <u>be solved.
</u>Although they are similar to equations, you can solve an equation, but you cannot solve an expression. You can evaluate it, simplify it, and it can have many variables, however, an expression just exists, it is not a problem that has to be solved.<u>
</u>
8 0
4 years ago
Read 2 more answers
How do you find the percent of an equation??
vlabodo [156]
<span>15 is 10% what number? in equation form is 15/10% = X.We need to first convert the percentage to an equivalent decimal to do our calculation.<span>Converting a percentage to a decimal we remove the percentage sign and divide by 100.</span></span>
3 0
4 years ago
Read 2 more answers
Other questions:
  • Write an algebraic expression that models the situation.
    10·2 answers
  • Look at the equation below.
    7·1 answer
  • Graph the line represented by x = -3
    7·1 answer
  • I NEED HELP WITH 4 PROBLEMS PLEASE HELP ME QUICKLY! 1.-6(1+7k)+7(1+6k) is less than or equal to -2 2. -2(2-2x)-4(x+5) is less th
    5·1 answer
  • Manuel has $50 in his bank account. Starting this week, he will deposit $30 into the
    6·2 answers
  • Can someone help me with this ASAP please?
    8·1 answer
  • Without graphing, determine whether the function represents exponential growth or exponential decay. y=12(17/10)^x
    7·1 answer
  • Please help! will give brainliest!
    6·2 answers
  • For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.​
    10·1 answer
  • in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!