$\cot \theta \cdot \tan \theta = \dots$

  • A
    $\cot^{2} \theta + \tan^{2} \theta$
  • B
    $0$
  • C
    $\sin \theta \cdot \cos \theta$
  • D
    $1$

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જો $a \sin \theta + b \cos \theta = c$ હોય,તો સાબિત કરો કે $a \cos \theta - b \sin \theta = \pm \sqrt{a^2 + b^2 - c^2}$,જ્યાં $a^2 + b^2 \geq c^2$ આપેલ છે.

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જો $\sin \alpha = \frac{1}{2}$ અને $\cos \beta = \frac{1}{2}$ હોય,તો $(\alpha + \beta)$ નું મૂલ્ય શું થાય ($^{\circ}$ માં)?

લઘુકોણ $A$ અને $B$ માટે,જો $\tan A = 1$ અને $\sin B = \frac{1}{\sqrt{2}}$ હોય,તો $\cos (A + B) = \dots$

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

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

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