Advertisements
Advertisements
Question
In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
a. AB is `sqrt(3)` times of BC.
B. BC is `sqrt(3)` times of BC.
Advertisements
Solution
Consider the following figure,
a. Given, AB = `sqrt(3) xx "BC"`
⇒ `"AB"/"BC" = sqrt(3)`
⇒ cot θ = `sqrt(3)`
⇒ cot θ = cot30°
⇒ θ = 30°.
b. Given, BC = `sqrt(3) xx "AB"`
⇒ `"BC"/"AB" = sqrt(3)`
⇒ tan θ = `sqrt(3)`
⇒ tan θ = tan60°
⇒ θ = 60°.
APPEARS IN
RELATED QUESTIONS
Find the value of 'A', if 2 sin 2A = 1
Find the value of 'A', if (1 - cosec A)(2 - sec A) = 0
In the given figure, PQ = 6 cm, RQ = x cm and RP = 10 cm, find
a. cosθ
b. sin2θ- cos2θ
c. Use tanθ to find the value of RQ
Find the value of 'x' in each of the following:
In the given figure, AB and EC are parallel to each other. Sides AD and BC are 1.5 cm each and are perpendicular to AB. Given that ∠AED = 45° and ∠ACD = 30°. Find:
a. AB
b. AC
c. AE
Find:
a. BC
b. AD
c. AC
Find the value 'x', if:
Evaluate the following: `(sin62°)/(cos28°)`
If cosθ = sin60° and θ is an acute angle find the value of 1- 2 sin2θ
Prove the following: tanθ tan(90° - θ) = cotθ cot(90° - θ)
