If tanα = m ~m +1 , tan β = 1 2 m+1 , then α + β is equal to
Mathematics · JEE Main · NTA Exams — Trigonometry
If tanα = \(\frac{\mathrm{m}}{\mathrm{~m}+1}\), tan β = \(\frac{1}{2 m+1}\), then α + β is equal to
- π/4
- π/3
- \(\tan ^{-1} \frac{\mathrm{~m}}{2 \mathrm{~m}+1}\)
- \(\tan ^{-1} \frac{m+1}{2 m+1}\)
Answer
(A) π /4
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If x ∈ R and x ≠ 0, then which of the following is not possible ?
- In a ∆ PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P=1, then the angle R is equal to
- If II , are the roots of the equation 6 x^ 2 -5 x+1=0 , then the value of ^ -1 x+ ^ -1 is,
- The two legs of a right triangle are sinθ + sin ( 3 2 - ) and cosθ – cos ( 3 2 - ) . The length of its…
- The upper ( 3 4 ) th portion of a vertical pole subtends an angle ^ -1 ( 3 5 ) at a point in the horizontal…
- The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a, is
- The sides of a triangle are 8 cm, 10 cm and 12 cm. Then, the greatest angle is
- The number of solutions of cosθ + 3 sin θ = 5, 0 ≤ θ ≤ 5π, is