Advertisements
Advertisements
Question
Choose the correct alternative:
If tan 40° = λ, then `(tan 140^circ - tan 130^circ)/(1 + tan 140^circ * tan 130^circ)` =
Options
`(1 - lambda^2)/lambda`
`(1 + lambda^2)/lambda`
`(1 + lambda^2)/(2lambda)`
`(1 - lambda^2)/(2lambda)`
Solution
`(1 - lambda^2)/(2lambda)`
APPEARS IN
RELATED QUESTIONS
Find the principal and general solutions of the equation sec x = 2
Prove that: tan (−225°) cot (−405°) −tan (−765°) cot (675°) = 0
Find x from the following equations:
\[x \cot\left( \frac{\pi}{2} + \theta \right) + \tan\left( \frac{\pi}{2} + \theta \right)\sin \theta + cosec\left( \frac{\pi}{2} + \theta \right) = 0\]
Prove that:
If \[cosec x + \cot x = \frac{11}{2}\], then tan x =
If sec x + tan x = k, cos x =
Which of the following is correct?
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Solve the following equation:
Write the number of solutions of the equation
\[4 \sin x - 3 \cos x = 7\]
Write the number of values of x in [0, 2π] that satisfy the equation \[\sin x - \cos x = \frac{1}{4}\].
If \[\cos x = - \frac{1}{2}\] and 0 < x < 2\pi, then the solutions are
Solve the following equations for which solution lies in the interval 0° ≤ θ < 360°
2 cos2x + 1 = – 3 cos x
Solve the following equations:
cos θ + cos 3θ = 2 cos 2θ
Solve the following equations:
sin θ + cos θ = `sqrt(2)`
Choose the correct alternative:
If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)
Choose the correct alternative:
If tan α and tan β are the roots of x2 + ax + b = 0 then `(sin(alpha + beta))/(sin alpha sin beta)` is equal to
