Question

express cos(1400) in term of acute angle​

Answer 1

Step-by-step explanation:

sin 45 °

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Answer 2

• cos (1400°) in terms of acute angle can be express as cos 40°.

To Solve :- Express cos (1400°) in term of acute angle ?

Formula used :-

• cos (n•360° - θ) = cos θ

Solution :-

putting n = 1,2,3___ to get near any value to 1440°

• 360° × 1 = 360°
• 360° × 2 = 720°
• 360° × 3 = 1080°
• 360° × 4 = 1440° = Near to 1400°

So, 1400° can be written as,

→ 1400° = (1440° - 40°)

→ 1400° = (4 × 360° - 40°)

→ 1400° = (4•360° - 40°)

multiply by cos both sides,

→ cos 1400° = cos (4•360° - 40°)

using above told formula, cos (n•360° - θ) = cos θ in RHS now,

→ cos 1400° = cos 40° (Ans.)

Hence, we can express cos (1400°) in terms of acute angle as cos 40°.

Extra knowledge :-

→ sin (n•360° - θ) = (-1)•sin θ

→ tan (n•360° - θ) = (-1)•tan θ

→ cosec (n•360° - θ) = (-1)•cosec θ

→ sec (n•360° - θ) = sec θ

→ cot (n•360° - θ) = (-1)•cot θ

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