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India
Class X

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Interactive practice questions

Consider the following image to investigate the trigonometric ratios $\sin\theta$sinθ and $\cos\left(90^\circ-\theta\right)$cos(90°θ)

a

$\sin\theta$sinθ = $\editable{}$

$\cos\left(90^\circ-\theta\right)$cos(90°θ) = $\editable{}$

b

Does $\sin\theta=\cos\left(90^\circ-\theta\right)$sinθ=cos(90°θ) for all values of $\theta$θ less than 90°?

Yes

A

No

B
Easy
1min

Consider the following image to investigate the trigonometric ratios $\cos\theta$cosθ and $\sin\left(90^\circ-\theta\right)$sin(90°θ)

Easy
1min

Fill in the blank with the acute angle that makes the statement true.

Easy
< 1min

Complete the blank in the following expression:

Easy
< 1min
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Outcomes

10.T.IT.1

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

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