Question

The value of sinθ increases as θ increases from 0 to 90. State whether the given statement is true or false. Justify your answer.

Answer 1

the statement the value of sine of angle theta increases as the angle theta increases from 0 to 90 is very true because at 0° we have sin theta equal to zero degree and at 30 degree we have sin theta equal to 1 by 2 at 45 degree we have it as one by root 2 then root 3 by 2 and finally one so we can say that the value of sine of angle theta increases as angle theta increases from 0 to 90

Answer 2

Yes , The value of Sin theta

increases as theta increases

from 0° to 90° .

Since ,

Sin 0° = 0 ,

Sin 30° = 1/2 ,

Sin 45° = 1/√2 ,

Sin 60° = √3/2 ,

Sin 90° = 1

0 < 1/2 < 1/√2 < √3/2 < 1

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