Basic Trigonometry - SOH-CAH-TOA | LET Reviewer | PNPA Reviewer

[@romardelegencia7027]

One of the trigonometric identities is the ratio identity for tan θ, which is:
tan θ = sin θ / cos θ
Using this identity, we can find the value of sec θ, which is the reciprocal of cos θ, by solving for cos θ and then taking the inverse. If tan θ = √3, then we have:
√3 = sin θ / cos θ
Multiplying both sides by cos θ, we get:
√3 cos θ = sin θ
Squaring both sides, we get:
3 cos2 θ = sin2 θ
Using another trigonometric identity, the Pythagorean identity for sin θ and cos θ, which is:
sin2 θ + cos2 θ = 1
We can substitute sin2 θ with 3 cos2 θ and get:
3 cos2 θ + cos2 θ = 1
Simplifying, we get:
4 cos2 θ = 1
Dividing both sides by 4, we get:
cos2 θ = 1/4
Taking the square root of both sides, we get:
cos θ = ± √(1/4)
cos θ = ± 1/2
Since we are looking for the value of sec θ, which is 1 / cos θ, we have:
sec θ = 1 / (± 1/2)
sec θ = ± 2
Therefore, the value of sec θ could be either 2 or -2, depending on the quadrant of θ. The correct answer is E) 2√3.

[@jamaissanlidasan3447]

Salamat sa pag solve sir, sakto nalalapit nadin po exam this upcoming august 6, sir more vids pa po sa mga word problems medjo nahihirapan din po ako dun e

[@gtrmathtutorial]

Try mi po ang playlist na to. Madaming word problem set
th-cam.com/play/PLx2SvHVohKd7FcnMWLMPeMSji8x3DYGat.html

[@AdrianManolos]

Nalilito lang Ako sa mouse arrow po HAHA Thanks

[@spicykam3n821]

Sir sa no.6 bakit hindi pwedeng 60 gamit acute triangle kailangan po ba may right angle lagi?

[@gtrmathtutorial]

Right triangle po dapat kaya 45 degrees

[@johmmackfaeldonia9961]

sir sa number 7 po
if tan θ = √3, what is the value of sec θ?
To find the value of sec(θ) given that tan(θ) = √3, we can use the relationship between secant and tangent trigonometric functions.
The identity we'll use is:
sec^2(θ) = 1 + tan^2(θ)
First, let's find the value of tan^2(θ):
tan^2(θ) = (√3)^2 = 3
Now, use the identity to find sec^2(θ):
sec^2(θ) = 1 + 3
sec^2(θ) = 4
Next, take the square root of both sides to find sec(θ):
sec(θ) = √4
sec(θ) = 2
So, the value of sec(θ) when tan(θ) = √3 is 2.

[@romardelegencia7027]

One of the trigonometric identities is the ratio identity for tan θ, which is:
tan θ = sin θ / cos θ
Using this identity, we can find the value of sec θ, which is the reciprocal of cos θ, by solving for cos θ and then taking the inverse. If tan θ = √3, then we have:
√3 = sin θ / cos θ
Multiplying both sides by cos θ, we get:
√3 cos θ = sin θ
Squaring both sides, we get:
3 cos2 θ = sin2 θ
Using another trigonometric identity, the Pythagorean identity for sin θ and cos θ, which is:
sin2 θ + cos2 θ = 1
We can substitute sin2 θ with 3 cos2 θ and get:
3 cos2 θ + cos2 θ = 1
Simplifying, we get:
4 cos2 θ = 1
Dividing both sides by 4, we get:
cos2 θ = 1/4
Taking the square root of both sides, we get:
cos θ = ± √(1/4)
cos θ = ± 1/2
Since we are looking for the value of sec θ, which is 1 / cos θ, we have:
sec θ = 1 / (± 1/2)
sec θ = ± 2
Therefore, the value of sec θ could be either 2 or -2, depending on the quadrant of θ. The correct answer is E) 2√3.

[@katsurap527]

Bat may math pa mabubuhay naman tayo kung wala yang letters sa math 😅

[@gtrmathtutorial]

😁