solve the following subquestion
If tan o = 2 find the value of other trignometric ratio.
Answers
Answer:
find the values of other trignometric ratio unnatimistry473 unnatimistry473 12.11.2020 Math Secondary School If tan theta is 2 find the values of other trignometric ratio 2 See answers ...
GIVEN:
Tan θ = 2
SOLUTION:
We know that tan θ = 2. By this we should understand that tan θ = 2/1
(∵ Tan θ is also equal to Opposite side/ Adjacent side)
∴ Tan θ = Opposite side/ Adjacent side = 2/1
Now, we have to find the third side of right triangle, say ABC,
where AB² + BC² = AC² [Pythagoras theorem]
==> (2)² + (1)² = AC²
==> AC² = 5
==> AC = √5
Hypotenuse of right triangle ABC is √5. So, we can now find the required trigonometric ratios.
Tan θ = 2 (Given)
Cot θ = 1/2 [Reciprocal of tan θ]
Sin θ = Opposite side/ Adjacent side
= 2/√5
Cosec θ = √5/2 [Reciprocal of Sin θ]
Cos θ = Adjacent side/ Hypotenuse
= 1/√5
Sec θ = √5 [Reciprocal of Cos θ]
