(B) We know that $\cot \theta = \tan(90^{\circ} - \theta)$.Using this identity:$\cot 54^{\circ} = \tan(90^{\circ} - 54^{\circ}) = \tan 36^{\circ}$.$\c

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) We know that $\cot \theta = \tan(90^{\circ} - \theta)$.Using this identity:$\cot 54^{\circ} = \tan(90^{\circ} - 54^{\circ}) = \tan 36^{\circ}$.$\cot 70^{\circ} = \tan(90^{\circ} - 70^{\circ}) = \tan 20^{\circ}$.Substituting these values into the expression:$\frac{\tan 36^{\circ}}{\tan 36^{\circ}} + \frac{\tan 20^{\circ}}{\tan 20^{\circ}} = 1 + 1 = 2$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

Easy

The value of $\frac{\cot 54^{\circ}}{\tan 36^{\circ}} + \frac{\tan 20^{\circ}}{\cot 70^{\circ}}$ is

WBJEE 2010 All WBJEE

A
$0$
B
$2$
C
$3$
D
$1$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Trigonometrical Ratios, Functions and Identities

Subtopic

Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

Previous Year

WBJEE 2010 Paper All WBJEE years →

The value of $\text{sech}(i\pi)$ is

Medium

View Solution

Find the degree measure corresponding to the following radian measure (Use $\pi = \frac{22}{7}$):
$-4$ radians

Medium

View Solution

If $y = \log_e \tan \left(\frac{\pi}{4} + \frac{x}{2}\right)$,then $\tanh \left(\frac{y}{2}\right) = $

MediumTS EAMCET 2019

View Solution

$\tan \theta \sin \left( \frac{\pi }{2} + \theta \right) \cos \left( \frac{\pi }{2} - \theta \right) = $

Easy

View Solution

What type of functions are all trigonometric functions?

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The value of $\frac{\cot 54^{\circ}}{\tan 36^{\circ}} + \frac{\tan 20^{\circ}}{\cot 70^{\circ}}$ is

Similar Questions

The value of $\text{sech}(i\pi)$ is

Find the degree measure corresponding to the following radian measure (Use $\pi = \frac{22}{7}$):$-4$ radians

If $y = \log_e \tan \left(\frac{\pi}{4} + \frac{x}{2}\right)$,then $\tanh \left(\frac{y}{2}\right) = $

$\tan \theta \sin \left( \frac{\pi }{2} + \theta \right) \cos \left( \frac{\pi }{2} - \theta \right) = $

What type of functions are all trigonometric functions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the degree measure corresponding to the following radian measure (Use $\pi = \frac{22}{7}$):
$-4$ radians