11th Mathematics NCERT Chapter 3
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– Introduction to Trigonometry: The chapter introduces trigonometry as the measurement of sides of a triangle to solve geometric problems and explains its applications in various fields like seismology, electric circuits, and music analysis.
– Angles: Angles are defined as measures of rotation with initial and terminal sides in triangles and units of measurement include degrees and radians. Positive angles rotate counterclockwise while negative angles rotate clockwise.
– Trigonometric Functions: Expands on trigonometric ratios to include any angle in terms of radians. Defines trigonometric functions like sine, cosine, secant, and tangent in relation to a unit circle.
– Trigonometric Functions of Sum and Difference of Two Angles: Derives expressions for trigonometric functions of the sum and difference of angles leading to trigonometric identities【4:0†source】【4:1†source】【4:2†source】【4:3†source】.
What is the value of sin 75°?
Prove the identity: cos (x + y) = cos x cos y – sin x sin y
Find sin x/2, cos x/2, and tan x/2 for x in quadrant II where tan x = -4/3.
Prove the trigonometric identity: sin x + sin 3x + sin 5x + sin 7x = 4 cos x cos 2x sin 4x
Calculate the value of tan π/8.
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