Question

prove that cos theta x tan theta = sin theta​

Answer 1

Answer:

I hope its help u

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Marks me brainliest if u understand this

Answer 2

To prove:

cosθ × tanθ = sinθ

Proof:

We know that,

tan θ = sinθ/cosθ

To prove that cosθ × tanθ = sinθ

LHS

= cosθ tanθ

= cosθ × sinθ/cosθ

= sinθ

= RHS

∴ Hence proved.

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Learn more :-

$\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ \: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1 \end{minipage}}$