Q. 135.0( 1 Vote )

# Answer each of the following questions in one word or one sentence or as per exact requirement of the question:Write the value of cos–1(cos 1540°).

Given cos-1 (cos 1540°)

= cos-1{cos (1440° + 100°)}

= cos-1{cos (360° × 4 + 100°)}

We know that cos (2π + θ) = cos θ

= cos-1{cos 100°}

We know that cos-1 (cos θ) = θ if θ [0, π]

= 100°

cos-1 (cos 1540°) = 100°

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