The value of $\tan 3A-\tan 2A-\tan A$ is equal to

Important Questions on Trigonometric Functions

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 41

The perimeter of a $∆ABC$ is $6$ times the arithmetic mean of the sines of its angles. If the side $a$ is $1$, then the angle $A$ can be equal to

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 42

In a $\mathrm{\Delta }ABC$, if $\tan \frac{A}{2}=\frac{5}{6},\tan \frac{C}{2}=\frac{2}{5}$, then

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 43

In a triangle $ABC, \frac{a\cos A+b\cos B+c\cos C}{a+b+c}$ is equal to

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 44

If in $∆ABC$ the line joining the circumcentre and the incentre is parallel to $BC$, then

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 45

If $\sin \left(y+z-x\right), \sin \left(z+x-y\right)$ and $\sin \left(x+y-z\right)$ are in $\mathrm{A}.\mathrm{P}.$ (with $x, y, z\ne \frac{\mathrm{\pi }}{2}$), then $\tan x, \tan y$ and $\tan z$ are in

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 46

If $2y\cos \theta =x\sin \theta$ and $2x\sec \theta -ycosec\theta =3,$ then $x^2+4y^2=$

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 47

In a $\mathrm{\Delta }ABC\mathit{,}$ if $a=13, b=14$ and $c=15$, then the value of $\sin \left(\frac{A}{2}\right)$ is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 5 - Trigonometric Functions>Exercise 1>Q 48

If $\cos 2B=\frac{\cos \left(A+C\right)}{\cos \left(A-C\right)},$ then $\tan A, \tan B \& \tan C$ are in