(i) (sin 49ocos 41o)2+(cos 41osin 49o)2 (ii) cos 48o−sin 42o (iii) c

1.	(i) (sin 49ocos 41o)2+(cos 41osin 49o)2 (ii) cos 48o−sin 42o (iii) cot 40otan 50o−12(cos 35osin 55o) (iv) (sin 27ocos 63o)2+(cos 63osin 27o)2 (v) tan 35otan 55o+cot 78otan 12o−1 (vi) sec 70ocosec 20o+sin 59ocos 31o (vii) cosec31o−sec59o (viii) (sin 72o+cos 18o)(sin 72o−cos 18o) (ix) sin35o sin 55o − cos 35o cos 55o (x) tan 48o tan 23o tan 42o tan 67o (xi) sec 50o sin 40o+cos 40o cosec 50o
Answer» (i) ${(\frac{s i n 49^{o}}{c o s 41^{o}})}^{2} + {(\frac{c o s 41^{o}}{s i n 49^{o}})}^{2}$ (ii) $c o s 48^{o} - s i n 42^{o}$ (iii) $\frac{c o t 40^{o}}{t a n 50^{o}} - \frac{1}{2} (\frac{c o s 35^{o}}{s i n 55^{o}})$ (iv) ${(\frac{s i n 27^{o}}{c o s 63^{o}})}^{2} + {(\frac{c o s 63^{o}}{s i n 27^{o}})}^{2}$ (v) $\frac{t a n 35^{o}}{t a n 55^{o}} + \frac{c o t 78^{o}}{t a n 12^{o}} - 1$ (vi) $\frac{s e c 70^{o}}{c o s e c 20^{o}} + \frac{s i n 59^{o}}{c o s 31^{o}}$ (vii) $c o s e c 31^{o} - s e c 59^{o}$ (viii) $(s i n 72^{o} + c o s 18^{o}) (s i n 72^{o} - c o s 18^{o})$ (ix) $s i n 35^{o} s i n 55^{o} - c o s 35^{o} c o s 55^{o}$ (x) tan $48^{o} t a n 23^{o} t a n 42^{o} t a n 67^{o}$ (xi) $s e c 50^{o} s i n 40^{o} + c o s 40^{o} c o s e c 50^{o}$

(i) (sin 49ocos 41o)2+(cos 41osin 49o)2 (ii) cos 48o−sin 42o (iii) cot 40otan 50o−12(cos 35osin 55o) (iv) (sin 27ocos 63o)2+(cos 63osin 27o)2 (v) tan 35otan 55o+cot 78otan 12o−1 (vi) sec 70ocosec 20o+sin 59ocos 31o (vii) cosec31o−sec59o (viii) (sin 72o+cos 18o)(sin 72o−cos 18o) (ix) sin35o sin 55o − cos 35o cos 55o (x) tan 48o tan 23o tan 42o tan 67o (xi) sec 50o sin 40o+cos 40o cosec 50o

Answer»

(i) ${(\frac{s i n 49^{o}}{c o s 41^{o}})}^{2} + {(\frac{c o s 41^{o}}{s i n 49^{o}})}^{2}$

(ii) $c o s 48^{o} - s i n 42^{o}$

(iii) $\frac{c o t 40^{o}}{t a n 50^{o}} - \frac{1}{2} (\frac{c o s 35^{o}}{s i n 55^{o}})$

(iv) ${(\frac{s i n 27^{o}}{c o s 63^{o}})}^{2} + {(\frac{c o s 63^{o}}{s i n 27^{o}})}^{2}$

(v) $\frac{t a n 35^{o}}{t a n 55^{o}} + \frac{c o t 78^{o}}{t a n 12^{o}} - 1$

(vi) $\frac{s e c 70^{o}}{c o s e c 20^{o}} + \frac{s i n 59^{o}}{c o s 31^{o}}$

(vii) $c o s e c 31^{o} - s e c 59^{o}$

(viii) $(s i n 72^{o} + c o s 18^{o}) (s i n 72^{o} - c o s 18^{o})$

(ix) $s i n 35^{o} s i n 55^{o} - c o s 35^{o} c o s 55^{o}$

(x) tan $48^{o} t a n 23^{o} t a n 42^{o} t a n 67^{o}$

(xi) $s e c 50^{o} s i n 40^{o} + c o s 40^{o} c o s e c 50^{o}$