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India
Class X

Applications of reciprocal and Pythagorean identities

Interactive practice questions

Solve the equation $2\cos^2\left(\theta\right)=2-\sin\theta$2cos2(θ)=2sinθ for $0\le\theta$0θ$<$<$2\pi$2π.

Easy
6min

Solve the equation $2\sec^2\left(x\right)-3\tan x=11$2sec2(x)3tanx=11 for $0^\circ\le x\le360^\circ$0°x360°.

Round all values to the nearest degree.

Medium
8min

Solve the equation $\tan^2\left(x\right)+9=3\sec^2\left(x\right)$tan2(x)+9=3sec2(x) for $0\le x\le2\pi$0x2π.

Medium
6min

The intensity of light from a single source on a flat surface at some point is given by $I=k\cos^2\left(\theta\right)$I=kcos2(θ), where $k$k is a positive constant and $\theta$θ is the angle the light makes with the vertical.

Hard
1min
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Outcomes

10.T.IT.2

Trigonometric Identities: Proof and applications of the identity sin^2 A + cos^2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

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