AP EAMCET · Maths · Trigonometric Ratios & Identities
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Consider A+B=45°⇒tanA+B=1⇒tanA+tanB=1-tanAtanB ⇒1+tanA+tanB+tanAtanB=2 ⇒(1+tan A)(1+tan B)=2 So, 1+tan1°1+tan44°=1+tan2°1+tan43°=....=1+tan22°1+tan23°=2 Thus,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(a, b\) and \(c\) are the roots of \(x^3+4 x+1=0\), then \(\frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}=\)AP EAMCET 2018 Medium
- The area of the triangle formed by the pair of lines \(23 x^2-\) \(48 x y+3 y^2=0\) with the line \(2 x+3 y+5=0\) isAP EAMCET 2024 Medium
- If the circles \(x^2+y^2-4 x+2 f y+1=0\) and \(x^2+y^2+\) \(2 \mathrm{gx}-4 \mathrm{y}-1=0\) cut orthogonally, then \(\mathrm{r}_1^2+\mathrm{r}_2^2-8=\)AP EAMCET 2023 Easy
- If \(\cos A=\frac{-60}{61}\) and \(\tan B=-\frac{7}{24}\) and neither \(A\) nor \(B\) is the second quadrant, then the angle \(A+\frac{B}{2}\) lies in the quadrantAP EAMCET 2019 Easy
- Equation \(x^5-5 x^3+5 x^2-1=0\) has equal rootsAP EAMCET 2020 Easy
- If the shortest distance from \((2,-14)\) to the circle \(x^2+y^2+6 x+4 y-12=0\) is \(d\) and the length of the tangent drawn from the same point to the circle is \(l\), then \(\sqrt{d+l}=\)AP EAMCET 2018 Easy
More PYQs from AP EAMCET
- For a Poisson distribution, if mean \(=l\), variance \(=m\) and \(l+m=8\), then \(e^4[1-P(X>2)]=\)AP EAMCET 2022 Medium
- If and are two real valued functions then the domain of the function isAP EAMCET 2022 Medium
- A vector perpendicular to the vector \((4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}})\) isAP EAMCET 2025 Easy
- Assertion (A): Two identical trains move in opposite senses in equatorial plane with same speeds relative to the earth's surface. They have equal magnitude of normal reaction.
Reason (R): The trains have different centripetal accelerations due to different speeds.AP EAMCET 2021 Medium - In chloroethane, the carbon bearing halogen is bonded to ... hydrogen \((s)\). It is called ...... alkyl halide.AP EAMCET 2002 Easy
- For real numbers \(a\) and \(b\), if \(4 a+i(3 a-b)=b-6 i\) and \(z=a+\frac{b}{4} i\), then \(\frac{|z|}{a}=\)AP EAMCET 2023 Easy