$\tan (90^\circ - \theta) = \ldots \ldots \ldots$

  • A
    $\tan \theta$
  • B
    $\cot \theta$
  • C
    $\sec \theta$
  • D
    $\operatorname{cosec} \theta$

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'True' (सत्य) या 'False' (असत्य) लिखिए और अपने उत्तर का औचित्य बताइए।
व्यंजक $(\cos^{2} 23^{\circ} - \sin^{2} 67^{\circ})$ का मान धनात्मक है।

सिद्ध कीजिए कि,
$(\sqrt{3}+ 1) (3-\cot 30^{\circ})=\tan ^{3} 60^{\circ}-2 \sin 60^{\circ}$

$(1+\tan ^{2} \theta)(1-\cos ^{2} \theta) = \dots$

यदि $\sin \theta + \cos \theta = p$ और $\sec \theta + \operatorname{cosec} \theta = q$ है,तो सिद्ध कीजिए कि $q(p^2 - 1) = 2p$.

Difficult
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यदि $3 \sin \theta = 4 \cos \theta$ है,तो $\tan \theta = \ldots$

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