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India
Class XI

Expand expressions using angle sum and difference identities

Interactive practice questions

Expand $\tan\left(\theta-x\right)$tan(θx).

Easy
1min

Expand $\sin\left(3x-y\right)$sin(3xy), rewriting it in terms of angles $3x$3x and $y$y.

Easy
1min

Consider the following.

Easy
3min

Expand $\cos\left(2x+3y\right)$cos(2x+3y), rewriting it in terms of angles $2x$2x and $3y$3y.

Easy
< 1min
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Outcomes

11.SF.TF.1

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^2 x + cos^2 x = 1, for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x + y) in terms of sin x, sin y, cos x and cos y. Deducing the identities like following: cot(x + or - y), sin x + sin y, cos x + cos y, sin x - sin y, cos x - cos y (see syllabus document)

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