Trigonometric proof project

Mathematics
Tutor: None Selected Time limit: 1 Day

how would i complete this problem two different ways?

Mar 26th, 2015

Where is the problem?

----------------------------------------------------------------

Mar 26th, 2015


Mar 26th, 2015
trig_proof_problem.png

Ok, I'll work on this now.

Mar 26th, 2015

Here's one way:

(sint + cost)^2 = sin^2t + 2sintcost + cos^2t = 2sintcost + (sin^2t + cos^2t) = 2sintcost + 1

Then,

(2sintcost + 1) / sintcost = 2 + 1/sintcost = 2 + sectcsct


Now I'll work on another way

Mar 26th, 2015

(sint + cost)^2 / sintcost = (sint+cost)(sint+cost) / sintcost

= (1/cost + 1/sint)(sint + cost)

= (sect + csct)(1/csct + 1/sect)

= sect/csct + sect/sect + csct/csct + csct/sect

= sect/csct + 1 + 1 + csct/sect

= 2 + sec^2t/sectcsct + csc^2t/sectcsct

= 2 + (sec^2t + csc^2t) / sectcsct

= 2 + sectcsct / (cos^2t+sin^2t)

= 2 + sectcsct / 1

= 2 + sectcsct

Mar 26th, 2015

Thanks!

Mar 26th, 2015

You're welcome:)

Mar 26th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Mar 26th, 2015
...
Mar 26th, 2015
May 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer