Use trigonometric identities to rewrite the equation sec theta/ csc theta =1

Mathematics

2 answers:

stealth61 [152]3 years ago

5 0

Sec θ/ csc θ==> tan θ =1
the answer is tan θ=1

love history [14]3 years ago

4 0

Answer:

$tan\theta=1$

Step-by-step explanation:

We have to rewrite the equation:

$\dfrac{sec\theta}{cosec\theta}=1$

We know that

$sec\theta=\dfrac{1}{cos\theta}$

and $cosec\theta=\dfrac{1}{sin\theta}$

on putting these equation in first equation, we get:

$\dfrac{\dfrac{1}{cos\theta}}{\dfrac{1}{sin\theta}} =1\\\\\\\dfrac{sin\theta}{cos\theta}=1\\ \\tan\theta=1$

You might be interested in

A students walks 20m in 5 minutes. What's the students average speed in m/m?

maks197457 [2]

The answer is b, I’m not quite sure

3 0

3 years ago

florida received 15 inches of rainfall in 3 months of the year. If the state receive 4.25 each month until the end of the year,

kherson [118]

Since there are 12 months in there year and there have already been 3 months there are 9 left

we need to multiply 4.25 by 9 and then add the first 15 inchess

4.25 times 9 = 38.25+15 = 53.25

Florida will recieve 53.25 inches of rain

I hope I've helped!

3 0

3 years ago

Alton had $725 for Medicare, $3000 for state income tax, and $3100 for

ella [17]

Answer:

$\$6825$

Step-by-step explanation:

Amount deducted for Medicare = $725

Amount deducted for state income tax = $3000

Amount deducted for Social security = $3100

To find: Total amount deducted from Alton's pay for FICA last year

Solution:

Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security = $725+3000+3100$