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3.Trigonometrical Ratios, Functions and Identities
medium
$\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$ ની કિમંત $............$ થાય.
A
$6$
B
$8$
C
$4$
D
$10$
(JEE MAIN-2023)
Solution
The value of $\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$
$\Rightarrow \tan 9^{\circ}+\cot 9^{\circ}-\tan 27^{\circ}-\cot 27^{\circ}$
$\Rightarrow \frac{2}{\sin 18^{\circ}}-\frac{2}{\sin 54^{\circ}}$
$\Rightarrow \frac{2 \times 4}{\sqrt{5}-1}-\frac{2 \times 4}{\sqrt{5+1}}$
$\Rightarrow 4$
Standard 11
Mathematics
