Trigonometry. e r. cosec = y, y. sin. = y, cos. sec = = x, tan =
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1 Tigomt. t o tn ot o o l o tn o o ot W tht th ign of gom o pn up th ign of n ooint of th point 'P' th tminl m. C (i) : If li in t nt n poiv. All gom o poiv. C (ii) : If li in n nt v v Not : If w tk th point P( ) th tn ut il (il with nt t oigin iu l ); thn th ov fi of gom o om G n i.. t p Stn ngl : In tngul ooint tm it ngl with it vt t th oigin il lg poiv Xi i ll tn ngl. Quntl ngl : A it ngl in tn poi who tminl m li th ooint (i.. Xi n Yi) i ll ntl ngl. Tigom o in tm of ooint of point : Ci n AOP in tn poi. Suh tht AOP Lt P t itn of fom th oigin. P ( ) l(op) AOP h C v o v o v v
2 GEOMETY S.S.C. tn v ot v In th n nt l in n o v. t of th gom o v. C (iii) : If li in nt. v o o v tn v ot v v v v v n v In th nt l tn i v o i ot. t of th gom o ngv. C (iv) : If li in th nt. v o v tn o v ot v n v v v v In th th nt l o n v. t of th gom o v. W n mm thi th igm givn low. Tigom In : in o (ii) tn (iii) (i) o o Fom (i) w gt; n o Fo n ngl in( ) o( ) o Tigomt
3 8 MCQ' MLTIPLE CHOICE QESTIONS (MCQ') (Eh i mk) 0º n 90º 80º n 90º 90º n 0º 0º n 80º Fo n ngl in tn poi if th il m ott 0º in lokwi i; thn th tminl m li in. t nt n nt nt Th v of o 90º i. not fin. ngv not fin o o If th tminl m of n ngl p though ( ) th tminl m li in 9. Th v of in(0º) i 8. poiv 0 Fo n ngl in( ) i. th nt In th thi nt th v of tn i 6. 0 Fo n ngl in tn poi i fin.. AOP hown in th figu li twn. t nt n nt nt th nt If th tminl of n ngl in tn poi p though th point ( ) th v of o i. If th tminl m of n ngl p though th point (0 ) thn th tminl m li. 0. Xi Yi in nt in th nt n li in th th nt thn th v of tn i If ot li in th th nt thn th v of o i If o Tigomt
4 GEOMETY S.S.C. If. t zo oppoit If n ngl i ngv thn it i i... nlokwi ght lokwi Th nt num in... i. nlokwi ltntl lokwi In th IV nt th v of... i poiv ot... o tn o In th joing figu if (). () 0º n 90º 90º n 90º thn tn... Anw Th ngl i mu in lokwi i. A ngv ngl i fom. AOP li twn 0º n 80º 0º in lokwi i. A ngv ngl i fom. A hown in th figu th tminl m li in n nt.. () Stn ut il m AOP 90º P (0 ) 0 o 90º 0. () i fin. 6. () () tn i poiv in th nt. in( ). () in(0º) in 0º 8. () Both n ngv. Th tminl m li in nt.. tn th v of i º n 80º If 80º n 80º 0. o o tn Wht th poil ngl if th tminl m i poiv Xi If in o 0 n i n ut ngl thn th v of tn i.. wh i n ut ngl thn th v of tn i. 9 Tigomt
5 0 Ci ight ngl ngl hown. Fom th figu.. Fom th figu o li in th nt. Onl oin o i poiv. Sin i ut ll o poiv.. Ci ight ngl ngl hown in th figu. o () in o 0 in o in o tn () lokwi 6. () nlokwi. () o 8. () o 9. () 80º n 80º 0. () li in th nt tn i ngv. tn tn tn o o o (). [Not : Thi i hot ut mtho to olv MCQ'. Thi mtho houl not u othwi. th mtho givn in th tt to fin th gom o.]. ot li in th nt. Onl oin o figu tn (0 ) i point Yi. Th tminl m li Yi. Thi ngl i lo ll ntl ngl. Fom th figu tn () (). () o Ci ight ngl ngl hown. Fom th [Not : Thi i hot ut mtho to olv MCQ'. Thi mtho houl not u othwi. th mtho givn in th tt to fin th gom o.] 0. Tminl m p though th point ( ) it li in th th nt. In th th nt l oin o i poiv. MCQ' () 9.. () tn opp. i poiv. ot. tn j. Tigomt
6 GEOMETY S.S.C. Polm Fo P 80º n 90º Fo n ngl in tn poi if th il m ott º in nlokwi i thn th tminl m li in th t nt th nt nt Fo n ngl in tn poi tn. poiv ngv o o.. t nt n nt nt th nt If n li in th thi If o i n ut ngl thn th If ot li in th nt th v of o i If th tminl of n ngl p though ( ) thn th v of i v of ot i Fo n ngl o( ) nt thn th v of tn i Th v of in 90º i If th tminl m of n ngl p though th point (8 ) thn th ngl li in th In th th nt th v of i 6... n nt º n 90º 90º n 0º 90º n 80º Th v of in(60º) i 8. AOP hown in th figu li twn. Anw Tigomt
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