Mathematics

Mathematics

Problem

An acute angle

\theta

in a right-angled triangle satisfies

\sin\theta=\dfrac{3}{5}

. Answer the following. a. (i) Find the values of

\cos\theta

and

\tan\theta

. b. (ii) Determine

\csc\theta

,

\sec\theta

and

\cot\theta

. c. (iii) Verify numerically that

1+\cot^{2}\theta=\csc^{2}\theta

for this value of

\theta

. State your conclusion.

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