Let ( ) be an obtuse angle such that ( = 7 25 ).

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let

\alpha

be an obtuse angle such that

\sin \alpha = \dfrac{7}{25}

. (i) Calculate

\cos \alpha

and

\tan \alpha

. (ii) Determine

\sec \alpha

and

\cot \alpha

. (iii) Show by direct substitution that

1 + \tan ^2\!\alpha = \sec ^2\!\alpha

.

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