The value of $\cot 5°\cot 10°\dots ..\cot 85°$ is

Important Questions on Trigonometric Ratios and Identities

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 3 - Trigonometric Ratios and Identities>Exercise 1>Q 89

$(\sec A+\tan A-1)(\sec A-\tan A+1)-2\tan A=$

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 3 - Trigonometric Ratios and Identities>Exercise 1>Q 90

Let $A, B$ and $C$ are the angles of a plain triangle and $\tan \left(\frac{A}{2}\right)=\frac{1}{3}, \tan \left(\frac{B}{2}\right)=\frac{2}{3}$ Then, $\tan \left(\frac{C}{2}\right)$ is equal to

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 3 - Trigonometric Ratios and Identities>Exercise 1>Q 91

If $\alpha , \beta \left(\alpha \ne \beta \right)$ satisfies the equation $a\cos \theta +b\sin \theta =c,$ then the value of $\tan \left(\frac{\alpha +\beta }{2}\right)$ is

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 3 - Trigonometric Ratios and Identities>Exercise 1>Q 92

If $\cos A\cos B\cos C=-\frac{1}{2}$ and $A=C$ in a triangle $ABC$ then $\cos 2A$ is equal to

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 3 - Trigonometric Ratios and Identities>Exercise 1>Q 93

The value of ${\tan }^{6}20°-33{\tan }^{4}20°+27{\tan }^{2}20°$ is