Advertisements
Advertisements
Question
If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.
Advertisements
Solution
tan4θ = cot(θ + 20°)
⇒ cot(90° - 4θ) = cot(θ + 20°)
⇒ 90° - 4θ= θ+ 20°
⇒ 5θ = 70°
⇒ θ = 14°.
APPEARS IN
RELATED QUESTIONS
If sin 3A = 1 and 0 < A < 90°, find sin A
Find the magnitude of angle A, if 2 cos2 A - 3 cos A + 1 = 0
Solve for x : sin2 x + sin2 30° = 1
Find the length of EC.
A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.
Evaluate the following: cot27° - tan63°
Evaluate the following: sin22° cos44° - sin46° cos68°
Evaluate the following: `(5sec68°)/("cosec"22°) + (3sin52° sec38°)/(cot51° cot39°)`
Prove the following: tanθ tan(90° - θ) = cotθ cot(90° - θ)
Prove the following: sin230° + cos230° = `(1)/(2)sec60°`
