Advertisements
Advertisements
Question
If sec2θ = cosec3θ, find the value of θ if it is known that both 2θ and 3θ are acute angles.
Sum
Advertisements
Solution
sec2θ = cosec3θ
⇒ sec2θ = sec(90° - 3θ)
⇒ 2θ = 90° - 3θ
⇒ 5θ = 90°
⇒ θ = 18°.
shaalaa.com
Trigonometric Equation Problem and Solution
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If sin 3A = 1 and 0 < A < 90°, find cos 2A
If sin 3A = 1 and 0 < A < 90°, find `tan^2A - (1)/(cos^2 "A")`
Find the value of 'A', if `sqrt(3)cot"A"` = 1
If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.
If θ = 30°, verify that: 1 - sin 2θ = (sinθ - cosθ)2
If θ < 90°, find the value of: `tan^2θ - (1)/cos^2θ`
Find the value 'x', if:
Find the value 'x', if:
Find x and y, in each of the following figure:
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin65° + cot59°
