(1+tanθ1+cotθ)2 = ____ .

Sail E0 Webinar

Question

$(\frac{1 + t a n θ}{1 + c o t θ})^{2}$ = ____ .

Options:

A . 1

B .

tan θ

C .

{tan}^{2} θ

D . 4

Answer: Option C
:
C

The given expression is
$(\frac{1 + tan θ}{1 + cot θ})^{2} = (\frac{1 + tan θ}{1 + \frac{1}{tan θ}})^{2}$

$= (\frac{1 + tan θ}{\frac{tan θ + 1}{tan θ}})^{2}$

$= (\frac{(tan θ) (1 + tan θ)}{tan θ + 1})^{2}$

$= {tan}^{2} θ$

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. 3tanθ + cotθ = 5cosecθ. Solve for θ, 0≤θ≤90. __ ....

Question 2. Which of the following options is/are equal to tan2A+cot2A+2 ? ....

Question 3. Which of the following options are equal to cos2A−sin2A ? ....

Question 4. If A, B, C are the angles of a triangle, then sin(B+C2)= ___. ....

Question 5. Which of the following options is equal to sin θ+1−cos θcos θ−1+sin .... Which of the following options is equal to sin θ+1−cos θcos θ−1+sin θ?

Question 6. sin A−2 sin3A2 cos3A−cos A= ....

Question 7. 1+sin(90∘−θ)−cos2(90∘−θ)cos(90∘−θ) [1+sin(90&#.... 1+sin(90∘−θ)−cos2(90∘−θ)cos(90∘−θ) [1+sin(90∘−θ)]=

Question 8. Which of the following options is equal to √sec2θ+cosec2θ ? ....

Question 9. If cos 3θ=√32, 0° < 3θ < 90°, then find the value of θ. ....

Question 10. sin18∘cos72∘= ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0