Question

state whether the following trigonometric values are positive or negative a) sin(210°) b) tan (570°)​

Answer 1

SOLUTION

TO CHECK

State whether the following trigonometric values are positive or negative

a) sin(210°)

b) tan (570°)

EVALUATION

a) Here the given angle is 210°

Now 210° = ( 2 × 90° ) + 30°

So the angle 210° lies in third quadrant

Now if an angle lies in third quadrant then Sine of the angle negative

sin 210° is negative

b) Here the given angle is 570°

Now 570° = ( 6 × 90° ) + 30°

So the angle 570° lies in third quadrant

Now if an angle lies in third quadrant then tangent of the angle positive

tan 570° is positive

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