If the value of expression sin -1( sin 2017°)+ cos -1( cos 2017°)+ tan -1( tan 2017°) is equal to k °, where k ∈ N then k is not divisible by

Question

If the value of expression sin -1( sin 2017°)+ cos -1( cos 2017°)+ tan -1( tan 2017°) is equal to k °, where k ∈ N then k is not divisible by (A) 1 (B) 3 (C) 11 (D) 13

Tardigrade Admin · Accepted Answer

Given expression =- sin -1( sin 37°)+π- cos -1( cos 37°)+ tan -1( tan 37°) =π-37°=143° ∴ k =143

Q. If the value of expression $sin^{- 1} (sin 201 7^{\circ}) + cos^{- 1} (cos 201 7^{\circ}) + tan^{- 1} (tan 201 7^{\circ})$ is equal to $k^{\circ}$ , where $k \in N$ then $k$ is not divisible by

1

3

11

13

Given expression $= - sin^{- 1} (sin 3 7^{\circ}) + π - cos^{- 1} (cos 3 7^{\circ}) + tan^{- 1} (tan 3 7^{\circ})$
$= π - 3 7^{\circ} = 14 3^{\circ}$
$∴ k = 143$

Q. If the value of expression sin−1(sin2017∘)+cos−1(cos2017∘)+tan−1(tan2017∘) is equal to k∘, where k∈N then k is not divisible by

1

3

11

13

Given expression =−sin−1(sin37∘)+π−cos−1(cos37∘)+tan−1(tan37∘) =π−37∘=143∘ ∴k=143

Q. If the value of expression $sin^{- 1} (sin 201 7^{\circ}) + cos^{- 1} (cos 201 7^{\circ}) + tan^{- 1} (tan 201 7^{\circ})$ is equal to $k^{\circ}$ , where $k \in N$ then $k$ is not divisible by

Given expression $= - sin^{- 1} (sin 3 7^{\circ}) + π - cos^{- 1} (cos 3 7^{\circ}) + tan^{- 1} (tan 3 7^{\circ})$
$= π - 3 7^{\circ} = 14 3^{\circ}$
$∴ k = 143$