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India
Class XI

Trigonometric ratios of supplementary angles (rad)

Interactive practice questions

Let $\theta$θ be an acute angle (in radians).

If $\sin\theta=0.6$sinθ=0.6, find the value of:

a

$\sin\left(\pi-\theta\right)$sin(πθ)

b

$\sin\left(\pi+\theta\right)$sin(π+θ)

c

$\sin\left(2\pi-\theta\right)$sin(2πθ)

d

$\sin\left(-\theta\right)$sin(θ)

Easy
2min

Let $\theta$θ be an acute angle (in radians).

If $\cos\theta=0.1$cosθ=0.1, find the value of:

Easy
1min

Let $\theta$θ be an acute angle (in radians).

If $\tan\theta=0.52$tanθ=0.52, find the value of:

Easy
1min

If $\sin x=\sin\frac{\pi}{3}$sinx=sinπ3 and $\frac{\pi}{2}π2<x<π, what is the value of $x$x?

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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