Match each of the following trigonometric ratio values to the corresponding acute…

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Match each of the following trigonometric ratio values to the corresponding acute angle and justify your choice in each case. (i)

0.8660

is the value of

\sin\alpha

. Identify

\alpha

. (ii)

\dfrac{\sqrt{2}}{2}

is the value of

\cos\beta

. Identify

\beta

. (iii)

0.5774

is the value of

\tan\gamma

. Identify

\gamma

. (iv) For any one of the above parts, explain why no other acute angle gives the same ratio value.