Write ‘True’ or ‘False’ and justify your answer.
The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.
Write ‘True’ or ‘False’ and justify your answer.
If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.
Write ‘True’ or ‘False’ and justify your answer.
If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.
Write ‘True’ or ‘False’ and justify your answer.
If cosA + cos2A = 1, then sin2A + sin4A = 1.
Write ‘True’ or ‘False’ and justify your answer.
The value of the expression (sin 80° – cos 80°) is negative.
Write ‘True’ or ‘False’ and justify your answer.
The value of the expression (cos2 23° – sin2 67°) is positive.
Write ‘True’ or ‘False’ and justify your answer.
The value of sinθ is a + 1/a , where ‘a’ is a positive number.
Write ‘True’ or ‘False’ and justify your answer.
tanθ increases faster than sinθ as θ increases.
Write ‘True’ or ‘False’ and justify your answer.
The value of tanθ (θ < 90°) increases as θ increases.
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