Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to
विकल्प
sin 2 (θ + Φ)
cos 2 (8 + Φ)
sin 2 (θ – Φ)
cos 2(θ – Φ)
उत्तर
cos 2 (8 + Φ)
APPEARS IN
संबंधित प्रश्न
Find the principal value of `cos^(-1) (sqrt3/2)`
Find the value of the following:
`tan^(-1)(1) + cos^(-1) (-1/2) + sin^(-1) (-1/2)`
Find the value of the following:
`tan^(-1) (tan (7x)/6)`
Prove that:
`tan^-1 ((sqrt(1 + x) - sqrt(1 - x))/(sqrt(1 + x) + sqrt(1 - x))) = pi/4 - 1/2 cos^-1 x`, for `- 1/sqrt2 <= x <= 1`
[Hint: put x = cos 2θ]
Find the domain of the following function:
`f(x) = sin^-1x + sinx`
Find the set of values of `cosec^-1(sqrt3/2)`
In ΔABC prove that `(b + c - a) tan "A"/(2) = (c + a - b)tan "B"/(2) = (a + b - c)tan "C"/(2)`.
Find the value of `cos^-1 (1/2) + tan^-1 (1/sqrt(3))`
Find the principal value of the following:
`sin^-1 (- 1/2)`
Express `tan^-1 [(cos x)/(1 - sin x)], - pi/2 < x < (3pi)/2` in the simplest form.
lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______
The principle solutions of equation tan θ = -1 are ______
The value of cot (- 1110°) is equal to ______.
The value of `cos(pi/4 + x) - cos(pi/4 - x)` is ______.
Prove that `cot(pi/4 - 2cot^-1 3)` = 7
Show that `2tan^-1 (-3) = (-pi)/2 + tan^-1 ((-4)/3)`
Prove that `tan^-1 1/4 + tan^-1 2/9 = sin^-1 1/sqrt(5)`
If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA "n" in "I"`, then x = ____________.
Consider f(x) = sin–1[2x] + cos–1([x] – 1) (where [.] denotes greatest integer function.) If domain of f(x) is [a, b) and the range of f(x) is {c, d} then `a + b + (2d)/c` is equal to ______. (where c < d)
If y = `tan^-1 (sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2))`, then `dy/dx` is equal to ______.