Question

say true or false: sec theta =-2,theta lies in 4th quadrant​

Answer 1

Answer:

False

Step-by-step explanation:

In 4th quadrant,cos and sec are positive.

value of sin,cosec,tan,cot are negative.

Answer 2

SOLUTION

TO CHECK

True / False below statement

If sec θ = - 2 then θ lies in 4th quadrant

EVALUATION

Here the given statement is

If sec θ = - 2 then θ lies in 4th quadrant

So sec θ is negative

We know that -

In 1st quadrant : All Trigonometric ratios are positive

In 2nd quadrant : sin and cosec is positive , rest of the Trigonometric ratios are negative

In 3rd quadrant : tan and cot is positive , rest of the Trigonometric ratios are negative

In 4th quadrant : cos and sec is positive , rest of the Trigonometric ratios are negative

Since sec θ is negative

So θ can not lie in 4th quadrant

Since in 4th quadrant sec is positive

FINAL ANSWER

Hence the statement is FALSE

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