Question

Find the value of cos(-1710°).

Answer 1

= cos(-1710°)

As cos repeats periodically after one complete revolution of 360°.

= cos ( - 1710° + 5*360°)

(it remains Same too).

= cos(-1710° + 1800°)

= cos(90°)

= 0.

Answer 2

$\huge{\underline{\underline{\bf{Solution}}}}$

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{To \: Find :}}}}$

We have to find the value of cos(-1710)°.

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{Explanation :}}}}$

We know that Values of cos x repeats after an interval of 2π or 360°.

There will be 5 intervals.

So,

$\sf{→Cos(-1710^{\circ})} \\ \\ \sf{→Cos(-1710^{\circ}) + 5 \times 360^{\circ}} \\ \\ \sf{→Cos(-1710^{\circ} + 1800^{\circ})} \\ \\ \sf{→Cos90^{\circ}}$

We know that,

$\Large{\star{\boxed{\sf{Cos90^{\circ} = 0}}}}$

$\sf{→0} \\ \\ \sf{\therefore \: Value \: of \: cos(-1710^{\circ}) \: is \: 0}$

$\Large{\implies{\boxed{\boxed{\sf{Cos(-1710^{\circ}) = 0}}}}}$

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