If 3 - 4 = 0, then value of * is : Option 1: 4/3 Option 2: 16/15 Option 3: 5/3 Option 4: 12/5

Answer: 5/3. Solution: 3=4 gives =4/3. So =4/5, =3/5, =5/4. *=4/3x5/4=5/3.

Geometry

Trigonometry

Medium

If $3\sin\theta - 4\cos\theta = 0$ , then value of $\tan\theta\cdot\csc\theta$ is :

$\frac{4}{3}$

$\frac{16}{15}$

$\frac{5}{3}$

$\frac{12}{5}$

✅ Correct Option: 3

$3\sin\theta=4\cos\theta$ gives $\tan\theta=\frac{4}{3}$ . So $\sin\theta=\frac{4}{5}$ , $\cos\theta=\frac{3}{5}$ , $\csc\theta=\frac{5}{4}$ . $\tan\theta\cdot\csc\theta=\frac{4}{3}\times\frac{5}{4}=\frac{5}{3}$ .

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If 3sin⁡θ−4cos⁡θ=03\sin\theta - 4\cos\theta = 03sinθ−4cosθ=0, then value of tan⁡θ⋅csc⁡θ\tan\theta\cdot\csc\thetatanθ⋅cscθ is :

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If $3\sin\theta - 4\cos\theta = 0$ , then value of $\tan\theta\cdot\csc\theta$ is :