2 years ago

Pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra

1 answer:

6 0

$\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}$

You might be interested in

Find the principal (positive) square root of 4. If necessary, round the answer to the nearest hundredth (two decimal places).

Lana71 [14]

The principal square root of 4 is 2

8 0

3 years ago

A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the

Colt1911 [192]

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

8 0

2 years ago

What is the rule for 0.7, 1.7, 2.7, 3.7

larisa86 [58]

Add 1

0.7+1=1.7

1.7+1= 2.7

etc., etc.

5 0

3 years ago

A packing crate can hold 205 avocados. There were 7000 avocados picked at a large grove. The owner has 36 packing crates. Does h

larisa [96]

First, you would have to divide 7000 by 205. This gives you 34 & a remainder. The owner can't pack parts of a crate so yes he does because he only has 34 full crates to ship. Leaving him with 2 extra crates left.

6 0

3 years ago

Read 2 more answers

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)

dem82 [27]

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110) = 1 - P(x>110)

We can find the probability that x>100 by adding anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110) = 1 - P(x>110)

= 1- 2.2%

= 1- .022

= .978

= 97.8 %

4 0

3 years ago