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India
Class XI

Solve trigonometric equations in first quadrant

Interactive practice questions

Find the measure in radians of the acute angle satisfying $\sin\theta=0.3675$sinθ=0.3675. Give your answer correct to two decimal places.

Easy
< 1min

Find the measure in radians of the angle satisfying $\cos\theta=0.7482$cosθ=0.7482 for $0<\theta<\frac{\pi}{2}$0<θ<π2. Round your answer correct to two decimal places.

Easy
< 1min

Find the measure in radians of the acute angle satisfying $\tan\theta=2.5869$tanθ=2.5869. Give your answer correct to two decimal places.

Easy
< 1min

Find the measure in radians of the acute angle satisfying $2\sin\theta+3=6\sin\theta$2sinθ+3=6sinθ. Round your answer to two decimal places.

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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