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India
Class XI

Solve trigonometric equations

Interactive practice questions

Find all values of $\theta$θ in the interval $[$[$0,2\pi$0,2π$)$) that satisfy $\sin\theta=\frac{1}{2}$sinθ=12.

Write all values on the same line separated by a comma.

Easy
2min

Find all values of $\theta$θ in the interval $[$[$0,2\pi$0,2π$)$) that satisfy $\cos\theta=-\frac{\sqrt{3}}{2}$cosθ=32.

Write all values on the same line separated by a comma.

Easy
2min

State the solution(s) to $\sin\theta=1$sinθ=1, where $0\le\theta\le2\pi$0θ2π.

Easy
< 1min

Solve $\cos\theta=-1$cosθ=1 where $0\le\theta\le2\pi$0θ2π.

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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