If 4 sin2 θ - 1 = 0 and angle θ is less than 90°, find the value of θ and hence the value of cos2 θ + tan2 θ.

Question

KnowledgeBoat · Accepted Answer

4 sin2 θ - 1 = 0 ⇒ 4 sin2 θ = 1 ⇒ sin2 θ = ⇒ sin θ = ⇒ sin θ = ⇒ sin θ = sin 30° So, θ = 30° Now, cos2 θ + tan2 θ = cos2 30° + tan2 30° Hence, θ = 30° and cos2 30° + tan2 30° = = .

Mathematics

If 4 sin² θ - 1 = 0 and angle θ is less than 90°, find the value of θ and hence the value of cos² θ + tan² θ.

Trigonometric Identities

Related Questions

If 2 sin x° - 1 = 0 and x° is an acute angle; find:
(i) sin x°
(ii) x°
(iii) cos x° and
(iv) tan x°.

Mathematics

If 4 sin2 θ - 1 = 0 and angle θ is less than 90°, find the value of θ and hence the value of cos2 θ + tan2 θ.

Trigonometric Identities

Related Questions

If 2 sin x° - 1 = 0 and x° is an acute angle; find:(i) sin x°(ii) x°(iii) cos x° and(iv) tan x°.

If 4 sin² θ - 1 = 0 and angle θ is less than 90°, find the value of θ and hence the value of cos² θ + tan² θ.

If 2 sin x° - 1 = 0 and x° is an acute angle; find:
(i) sin x°
(ii) x°
(iii) cos x° and
(iv) tan x°.