Find the values of the trigonometric ratios of angles ø and B in tje triangle shown below
Answers
Answer:
plz attach the triangle pic
Given :- Find the values of the trigonometric ratios of angles ø and β in the triangle shown below ?
Solution :-
First the given triangle must be an right angle ∆ .
so,
→ Hypotenuse = √(5)² + (4)² = √(25 + 16) = √41 .
now, we know that, 6 trigonometric ratios are :-
- sin θ = Perpendicular/Hypotenuse
- cos θ = Base/Hypotenuse
- tan θ = Perpendicular/Base
- cosec θ = Hypotenuse/Perpendicular
- sec θ = Hypotenuse/Base
- cot θ = Base/Perpendicular .
Trigonometric ratios of angle ø :-
→ sin ø = P/H = 4/√41
→ cos ø = B/H = 5/√41
→ tan ø = P/B = 4/5
→ cosec ø = H/P = √41/4
→ sec ø = H/B = √41/5
→ cot ø = B/P = 5/4
Trigonometric ratios of angle β :-
→ sin β = P/H = 5/√41
→ cos β = B/H = 4/√41
→ tan β = P/B = 5/4
→ cosec β = H/P = √41/5
→ sec β = H/B = √41/4
→ cot β = B/P = 4/5
Learn more :-
It sino + tano = m
tano - sino an
Then express the
values of m²-n² in terms
of M and N
https://brainly.in/question/13926306
tanA/(1-cotA) + cotA/(1-tanA)
https://brainly.in/question/16775946