Expresss each of the following in terms of T-ratios of angles lying be – InterviewSolution

InterviewSolution

1.	Expresss each of the following in terms of T-ratios of angles lying between `0^theta and 45^@`. (i) `sin 67^@+cos 75^@` (ii) ` cot 65^@+tan 49^@` (iii) ` sec 78^@+cosec 56^@` (iv) `cosec 54^@+sin 72^@`.
Answer» Correct Answer - `(i) cos 23^@+sin 15^@` `(ii) tan 25^@+cot 41^@` `(iii) cosec 12^@+sec34^@` `(iv) sec 36^@+cos 18^@` `(i) sin 67^@+cos 75^@=sin (90^@-23^@)+cos (90^@-15^@)=cos23^@+sin 15^@`. `(ii) cot 65^@+tan 49^@=cot (90^@-25^@)+tan (90^@-41^@)=tan 25^@+cot 41^@`.

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