All categories

2 years ago

Prove the identity

Mathematics

1 answer:

Troyanec [42]2 years ago

3 0

Answer:

Proved

Step-by-step explanation:

The options are not given. So, I will solve from scratch

Given

$\frac{secx-1}{tan x}= \frac{tanx}{secx+1}$

Required

Prove

Multiply the right-hand side by $\frac{secx + 1}{secx + 1}$

$\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}$

Apply difference of two squares on the numerator

$\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}$

In trigonometry:

$tan^2x = sec^2x - 1$

So, we have:

$\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}$

$\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}$

tan x cancels out

$\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}$

<em>Proved</em>

You might be interested in

ashley purchased a prepaid card phone card for $15. long distance calls cost 11 cents per minute using this card. ashley used he

user100 [1]

It depends if Ashley was on the call for seconds too,if there can be a remainder , if so then it would be 3 min. and 47 sec.

5 0

2 years ago

Use the following information for the question. Male players at the high school, college and professional ranks use a regulation

Virty [35]

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

8 0

1 year ago

Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm

bagirrra123 [75]

Answer:

12 meters

Step-by-step explanation:

Given

$Scale= 1cm:2m$

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

$Scale = 6cm:x$

Equate

$Scale= 1cm:2m$ and $Scale = 6cm:x$

$1cm:2m = 6cm:x$

Express as fraction

$\frac{1cm}{2m} = \frac{6cm}{x}$

Cross Multiply

$x * 1cm = 6cm * 2m$

$x * 1 = 6 * 2m$

$x = 6 * 2m$

$x = 12m$

3 0

2 years ago

PLEASE HELP!!! TRIG, Theres a picture!!

BartSMP [9]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

$3( { \tan }^{2} \theta - { \sec }^{2} \theta)$

Using trigonometric identities

That's

$1 + { \tan }^{2} \theta = { \sec }^{2} \theta$

Rewrite the expression

That's

$3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\$

Simplify

We have

$3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)$

So we have

3( - 1)

We have the final answer as

Hope this helps you

3 0

2 years ago

Find the measurement of the cord. ..

Alina [70]

I think you forgot to add the cord picture?

4 0

2 years ago