Respuesta :

Matheng
From the trigonometry we should know that

sin² θ + cos² θ = 1

∴ cos² θ = 1 - sin² θ

given that ⇒⇒⇒ sin θ = 1/4

∴ cos² θ = 1 - sin² θ = 1 - (1/4)² = 0.9375

∴ cos θ = √0.9375 = 0.968  or  -0.968
but sin θ is positive and tan θ positive because tan θ > 0 as stated in the problem
So, cos θ should be positive 

∴ cos θ = 0.968











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