જો 3 cot θ=4, તો frac{1-tan ^{2} θ}{1+tan ^{2} θ}=ldots ldots ldots ldots

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8. Introduction to Trigonometry

easy

જો $3 \cot \theta=4,$ તો $\frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=\ldots \ldots \ldots \ldots$

$\frac{7}{25}$

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{1}{7}$

Solution

$3 \cot \theta=4\, \therefore \cot \theta=\frac{4}{3}\, \therefore \tan \theta=\frac{3}{4}$

$\frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=\frac{1-\left(\frac{3}{4}\right)^{2}}{1+\left(\frac{3}{4}\right)^{2}}=\frac{1-\frac{9}{16}}{1+\frac{9}{16}}=\frac{16-9}{16+9}=\frac{7}{25}$

Standard 10

Mathematics

જો $4 \tan \theta=3,$ હોય, તો $\left(\frac{4 \sin \theta-\cos \theta}{4 \sin \theta+\cos \theta}\right)=…..$

medium

$\left(\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}\right)$ નું મૂલ્ય ……….. છે.

medium

$\sin \theta=\frac{1}{2},$ તો $\theta=\ldots \ldots \ldots \ldots$

easy

$\operatorname{cosec} A=\sqrt{10},$ તો $\sin A=\ldots \ldots \ldots . . .$

easy

$\tan 23\,\,\tan 42\,\, \tan 48\,\, \tan 67=\ldots \ldots \ldots \ldots .$

hard

જો $3 \cot \theta=4,$ તો $\frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=\ldots \ldots \ldots \ldots$

Solution

Similar Questions

જો $4 \tan \theta=3,$ હોય, તો $\left(\frac{4 \sin \theta-\cos \theta}{4 \sin \theta+\cos \theta}\right)=…..$

$\left(\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}\right)$ નું મૂલ્ય ……….. છે.

$\sin \theta=\frac{1}{2},$ તો $\theta=\ldots \ldots \ldots \ldots$

$\operatorname{cosec} A=\sqrt{10},$ તો $\sin A=\ldots \ldots \ldots . . .$

$\tan 23\,\,\tan 42\,\, \tan 48\,\, \tan 67=\ldots \ldots \ldots \ldots .$

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