Question

what is the value of cos 675
​

Answer 1

SOLUTION :-

TO DETERMINE :-

The value of cos 675°

EVALUATION

STEP : 1

First write down the given expression

$\sf{ \cos {675}^{ \circ} }$

STEP : 2

Find the quadrant where the angle 675° lies

675° = ( 7 × 90° ) + 45°

So the angle lies on first quadrant

STEP : 3

Determine the value

$\sf{ \cos {675}^{ \circ} }$

$= \sf{ \cos (7 \times {90}^{ \circ} + {45}^{ \circ} )}$

$= \sf{ \sin {45}^{ \circ} }$

$\displaystyle \sf{ = \frac{1}{ \sqrt{2} } }$

FINAL ANSWER :-

$\boxed{ \displaystyle \sf{ \: \cos {675}^{ \circ} = \frac{1}{ \sqrt{2} } } \: \: }$

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Answer 2

Answer:

-1/√2

Step-by-step explanation:

cos 675

cos (2×360-45)

cos(-45)

-1√2 = answer