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y • From the relation, it is found that:
1 1
A (a) cosec q = sin q
1
(b) sec q = cos q
123° 1
–1 1 x (c) cot q = tan q
251° O –35° • Signs for trigonometric ratios in the quadrants:
y
C Quadrant II Quadrant I
sin (+) All (+)
B –1 cosec (+)
x
O
6.2 Trigonometric Ratios of Any Quadrant III Quadrant IV
Angle
tan (+) cos (+)
• Relation between six trigonometric ratios: cot (+) sec (+)
y r • Complementary angle formulae:
sin q = r cosec q = y (a) sin q = cos (90° – q)
x r r (b) sec q = cosec (90° – q)
cos q = r y sec q = x (c) cos q = sin (90° – q)
θ (d) cosec q = sec (90° – q)
y x x (e) tan q = cot (90° – q)
tan q = x cot q = y (f) cot q = tan (90° – q)
Ch 6_Grab Me SPM AddMaths F5.indd 188 13/05/2022 9:21 AM

