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प्रश्न
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
Consider a ΔABC, right-angled at B.
tan A = `("Side opposite to ∠A")/("Side adjacent to ∠A")`
= `12/5`
But `12/5 > 1`
∴ tan A > 1
So, tan A < 1 is not always true.
Hence, the given statement is false.
A tangent of an angle is the ratio of sides other than hypotenuse, which may be equal or unequal to each other.
संबंधित प्रश्न
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
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