Name: Class 10 STICK TO YOUR WALL IN STUDY AREA
__________________________________________________________________________________________________________________________
__________________________________________________________________________________________________________________________
The Hg Classes (8th to 12th) By: Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM
http://fb.me/hgoyalclasses hgoyalclasses@gmail.com https://www.instagram.com/the_hg_classes +91 9599697178.
Hg
TRIGONOMETRY
Trigonometric Ratios:
sine θ or sin θ =
cosine θ or cos θ =
tangent θ or tan θ =
,
where P, B and H are Perpendicular, Base and Hypotenuse of a right-angled triangle corresponding
to acute angle θ.
cosecant θ or cosec θ =
secant θ or sec θ =
cotangent θ or cot θ =
Relation between trigonometric ratios of complementary angles:
sin (90 – θ) = cos θ
cos (90 – θ) = sin θ
sec (90 – θ) = cosec θ
cosec (90 – θ) = sec θ
tan (90 – θ) = cot θ
cot (90 – θ) = tan θ
Trigonometric ratios of 0°, 30°, 45°, 60°, 90°:
sin
cos
tan
cosec
sec
cot
0°
0
1
0
n.d.
1
n.d.
30°
2
45°
1
1
60°
2
90°
1
0
n.d.
1
n.d.
0
Trigonometric identities:
sin2 θ + cos2 θ = 1, where 0 ≤ θ ≤ 90
sec2 θ = 1 + tan2 θ, where 0 ≤ θ < 90
cosec2 θ = 1 + cot2 θ, where 0 < θ ≤ 90
