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

Applications of Pythagorean identities

Interactive practice questions

By starting with the left hand side, prove that $\frac{1-\cos^2\left(\theta\right)}{\sin\theta}=\sin\theta$1−cos2(θ)sinθ=sinθ.

Easy

1min

Starting with the left hand side, prove the identity $\frac{1-\sin^2\left(x\right)}{\cos x}=\cos x$1−sin2(x)cosx=cosx.

Easy

1min

Outcomes

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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