Find the value of 1 − t a n 2 30 ∘ 1 + t a n 2 30 ∘ . Options: A . &nbsp0.5 B . &nbsp1 C . &nbsp2 D . &nbsp4

Answer: Option A : A We know that t a n 30 ∘ = 1 √ 3 . ⇒ 1 − t a n 2 30 ∘ 1 + t a n 2 30 ∘ = 1 − ( 1 √ 3 ) 2 1 + ( 1 √ 3 ) 2 = 1 − ( 1 3 ) 1 + ( 1 3 ) = 3 − 1 3 + 1 = 2 4 = 1 2 = 0.5

Find the value of 1−tan2 30∘1+tan2 30∘.

Question

Find the value of

\frac{1 - t a n^{2} 30^{\circ}}{1 + t a n^{2} 30^{\circ}} .

Options:

A . 0.5

B . 1

C . 2

D . 4

Answer: Option A
:
A

We know that t a n 30^{\circ} = \frac{1}{\sqrt{3}} .

\Rightarrow \frac{1 - t a n^{2} 30^{\circ}}{1 + t a n^{2} 30^{\circ}} = \frac{1 - (\frac{1}{\sqrt{3}})^{2}}{1 + (\frac{1}{\sqrt{3}})^{2}}

= \frac{1 - (\frac{1}{3})}{1 + (\frac{1}{3})}

= \frac{3 - 1}{3 + 1}

= \frac{2}{4}

\frac{1}{2} = 0.5

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. If x=a sec A cos B, y=b sec A sin B and z=c tan A, then x2a2+y2b2−z2c2=....

Question 3. (sinA+cosecA)2−(sinA−cosecA)2=....

Question 4. If x=a sec θ+b tan θ and y=a tan θ+b sec θ, then x....If x=a sec θ+b tan θ and y=a tan θ+b sec θ, then x2−y2a2−b2= ___

Question 5. Tan2 θ(sec θ−1)2=....

Question 6. SinA−sinBcosA+cosB+cosA−cosBsinA+sinB=....

Question 7. 11+tan2θ+11+cot2θ=....

Question 8. (sec A+tan A−1)(sec A−tan A+1)tan A=....

Question 9. (1+tan A)2+(1−tan A)2=....

Question 10. Sec 17∘cosec 73∘+tan 68∘cot 22∘−[cos2 44∘+cos2 4....sec 17∘cosec 73∘+tan 68∘cot 22∘−[cos2 44∘+cos2 46∘]=___.

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

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers