In a right-angled triangle, ( = 5 12 )

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

In a right-angled triangle,

\tan \theta = \dfrac{5}{12}

. Answer the following questions, giving each result in its simplest fractional form unless stated otherwise: (i) Find

\sin \theta

and

\cos \theta

. (ii) Determine

\csc \theta

and

\sec \theta

. (iii) Verify that

\sin^{2}\theta+\cos^{2}\theta = 1

for the values obtained. (iv) If the side adjacent to angle

\theta

measures 60 cm, calculate the length of the hypotenuse.