Prove that 1/1+sinA -1/1+sinA =2tanAsinA

Mathematics

1 answer:

enyata [817]2 years ago

3 0

Step-by-step explanation:

$\frac{1}{1 + \sin( \alpha ) } \frac{1}{1 - \sin( \alpha ) } \\ \frac{1 - \sin( \alpha ) + 1 + \sin( \alpha ) }{(1 + \sin( \alpha ))(1 - \sin( \alpha )) } \\ = \frac{2}{1 - {sin}^{2} \alpha } \\ \frac{2}{ {cos}^{2} \alpha } = 2 \: {sec}^{2} \alpha$

You might be interested in

Please help . 20 points for right answer

siniylev [52]

You would add up the percentages first, which would bring everything up to 35%. You would then take the original cost of the item, which is $30 and multiple it by the 35%.

The equation would look like...

30 x .35 =

This will give you $10.50, which isn't the final answer.

You would then subtract 10.50 from the $30 that was asked for at the beginning by the retailer.

Your final answer is $19.50. :) Which isn't a bad deal if I say so myself.

3 0

3 years ago

The Organic Cafe recently served 9 cinnamon rolls and 9 other pastries. Considering this data, how many of the next 14 pastries

VladimirAG [237]

Answer

idk maybe 5 is the flvs?

Step-by-step explanation:

8 0

3 years ago

Soft drink cost 3.50. Next door it cost 2.00(1.50) less. Walk next door or not?

Tresset [83]

Yes, walk next door... you’ll save money

7 0

3 years ago

Read 2 more answers

There are 60 marbles in a bowl. 1/3 of them is red, 1/4 is blue and the rest has now colour. How many marbles have no colour?

Gwar [14]

Answer:25

Step-by-step explanation: since 1/3 of the marbles is red, we’ll divide 60 by 3, which equals 20. Since 1/4th are blue, we’ll do 60/4=15. 20+15=35. We’re finding the amount with no color, so subtract 35 from 60. We have 25

3 0

3 years ago

Read 2 more answers

Which statement BEST explains the relationship between lines GF & HJ?

Pavel [41]

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,