Trig Fns - Identities

Tangent Ratios (proofs and equivalences)

Complementary results

Reciprocal identities

Pythagorean Identities

Applications of Pythagorean identities

Applications of reciprocal and Pythagorean identities

Simplify expressions with reciprocals using complementary results

Evaluate trig expressions using angle sum and difference identities

Expand expressions using angle sum and difference identities

Applications of angle sum and difference identities

Evaluate trig expressions using double and half angle identities

Class X

Reciprocal identities

Interactive practice questions

Find $\sec\theta$secθ if $\cos\theta=\frac{2}{9}$cosθ=29.

Easy

< 1min

Find $\csc\theta$cscθ if $\sin\theta=\frac{4}{7}$sinθ=47.

Easy

< 1min

Find $\cot\theta$cotθ if $\tan\theta=11$tanθ=11.

Easy

< 1min

Find the value of $\cot\theta$cotθ if $\tan\theta=0.1$tanθ=0.1 .

Easy

< 1min

Outcomes

10.T.IT.1

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

10.T.IT.2

Trigonometric Identities: Proof and applications of the identity sin^2 A + cos^2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

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