Stevenv8idn
Answered

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Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?

Sagot :

Asuwafohjamesidn

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

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