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larisa [96]
3 years ago
14

Rewrite the expression in terms of the given function 1/1-sinx - sinx/1+sinx

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
Your question seems a bit incomplete, but for starters you can write

\dfrac1{1-\sin x}-\dfrac{\sin x}{1+\sin x}=\dfrac{1+\sin x}{(1-\sin x)(1+\sin x)}-\dfrac{\sin x(1-\sin x)}{(1+\sin x)(1-\sin x)}=\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}

Expanding where necessary, recalling that (1-\sin x)(1+\sin x)=1-\sin^2x=\cos^2x, you have

\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}=\dfrac{1+\sin x-\sin x+\sin^2x}{\cos^2x}=\dfrac{1+\sin^2x}{\cos^2x}

and you can stop there, or continue to rewrite in terms of the reciprocal functions,

\dfrac{1+\sin^2x}{\cos^2x}=\sec^2x+\tan^2x

Now, since 1+\tan^2x=\sec^2x, the final form could also take

\sec^2x+\tan^2x=\sec^2x+(\sec^2x-1)=2\sec^2x-1

or

\sec^2x+\tan^2x=(1+\tan^2x)+\tan^2x=1+2\tan^2x
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MARK BRAINLIEST AND 12 POINTS
attashe74 [19]

Answer:

17

125

Step-by-step explanation:

exterior angle is equal to sum of interior opposite angle. so

( 2x + 6 ) + ( 5x ) = ( 8x - 11 )

7x + 6 = 8x - 11

x = 17

exterior angle = ( 8 * 17 ) - 11 = 125

8 0
3 years ago
Read 2 more answers
the rectangular grassy plot 126 m by 48m has a gravel path 1.5m wide a road 2.5m wide is constructed all around it on inside of
dusya [7]

Answer:

= Sh. 2281.50

Step-by-step explanation:

Area of the path;

(126 × 2.5 ) + (2.5 × (48 - (2.5×2)

= 315 + (2.5 × 43)

= 315 + 107.5

= 422.5 m²

But; the cost of graveling is sh 5.40 per square meter

Therefore; The cost of graveling the whole path;

= 422.5 × 5.40

<u>= Sh. 2281.50</u>

6 0
3 years ago
(-19+7i)-(29+32i)=<br><br> in the form (a+bi)
olga_2 [115]
ANSWER

-48-25i

EXPLANATION

We want to simplify the expression,

(-19+7i) - (29+32i)

Let us expand the bracket to obtain,

-19+7i-29-32i

We now group the complex number parts and real number parts.

-19 -29+7i-32i


We simplify further to obtain,

- 48-25i


This is in the form,

a+bi

where

a=-48

and

b=-25
5 0
3 years ago
(a) It takes 73 pounds of seed to completely plant a 10-acre field. How many pounds of seed are needed per acre? (b) Latoya boug
Snezhnost [94]
(a) 7.3 pounds of seed is needed per acre.
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Ms. Gonzalez borrowed $4,500 from her bank to buy a jet ski. The loan has an 8.5% annual simple interest rate. If it takes Ms. G
Komok [63]

Answer:

765

Step-by-step explanation:

4500x8,5= 38250/100=382,5 x2= 765

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3 years ago
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