Prove identity

Cot⭕sin⭕sec⭕= 1
How would i do this one please help me.

Thankyou

cot = cos/sin

sec = 1/cos

multiply, and you have

cos/sin * sin * 1/cos = 1

Yes but how does it equal to one?

Tht was me i forgot to write my name

coem on. This is trig. You shoudl know algebra I

a/b * b * 1/a = 1

Just multiply the fractions and cancel factors!

So sinB and sthe sonB under cosB cancels out and then u have cosB * 1/cosB so u multiply them and get cosB/cosB and so that is 1

Did i do it right??? Please say yes:( i worked on this one for 30 min sir:( i feel like im stupid now😢

yes yes yes.

30 minutes work deserves more than just one yes!

Keep doing these, and soon you'll be able to knock them off in seconds.

You want to get so familiar with this stuff that when you encounter a problem, you don't have to wonder how to solve it; you just solve it, using techniques that are automatic.

Tht will take awhile wont it? Do u think i can master it by monday:( i also have cast rule, ambiguous case, sine and cosine law, primary trig ratios to study tho:( do u think its possible:(?

don't know, but you have your work cut out for you. All you can do is your best.

In the future, if you can find the time, don't just do the 6 assigned homework problems. Do the whole set, and if you're still having problems, go get the Schaum Outline for Trigonometry and there are hundreds of problems there, many worked out for you.

Oh ok:) thanks alot but does that mean i cant ask u for help:'( don't do this to me sir!

I will follow ur advice and do my best and try many of those problems but can i still ask u if i cant solve some??:(

To prove the identity cot(x)sin(x)sec(x) = 1, we need to manipulate the terms and simplify the expression until we arrive at the value of 1.

Let's start with the left-hand side of the equation and apply some trigonometric identities:

cot(x)sin(x)sec(x)

Now, we know that cot(x) = 1/tan(x) and sec(x) = 1/cos(x). Let's substitute these values:

(1/tan(x)) * sin(x) * (1/cos(x))

Next, we can simplify the expression by canceling out common factors. The sin(x)/cos(x) term simplifies to tan(x):

(1/tan(x)) * tan(x)

The tan(x) terms cancel out, leaving us with:

1

Therefore, we have shown that cot(x)sin(x)sec(x) simplifies to 1. Thus, the identity has been proven.

I hope this explanation is helpful. Let me know if you have any further questions!