If - is in the first quadrant- then -1-sin 2 -cos-

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Standard IX

Mathematics

Pair of Tangents from a Point

If θ is in th...

Question

If $θ$ is in the first quadrant, then $\sqrt{(1 - s i n 2 θ)}$ = - cos $θ$

True

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False

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Solution

The correct option is B
False

The term under square root is always positive

L.H.S is always positive

R.H.S is negative

So, the statement is not true for any value of $θ$ in the first quadrant.

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If $θ$ is in the first quadrant, then $\sqrt{(1 - sin 2 θ)} = - cos θ$

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If θ is in the first quadrant, then √(1−sin2θ) = - cosθ

The correct option is B False The term under square root is always positive L.H.S is always positive R.H.S is negative So, the statement is not true for any value of θ in the first quadrant.

If $θ$ is in the first quadrant, then $\sqrt{(1 - s i n 2 θ)}$ = - cos $θ$

The correct option is B
False

The term under square root is always positive

L.H.S is always positive

R.H.S is negative

So, the statement is not true for any value of $θ$ in the first quadrant.