Value of tan-1sin2 - 1cos2
π2 - 1
1 - π4
2 - π2
π4 - 1
The value of sin55° - cos55°sin10° is
12
2
1
Simplest form of 22 + 2 + 2 + 2cos4x is
secx2
secx
cscx
If 5cos2θ + 2cos2θ2 + 1 = 0, when 0 < θ < π, then the values of θ are
π3 ± π
π3, cos-135
cos-135 ± π
π3, π - cos-135
tanπ4 + 12cos-1ab + tanπ4 - 12cos-1ab is equal to
2ab
2ba
ab
ba
B.
tanπ4 + 12cos-1ab + tanπ4 - 12cos-1ab
Put 12cos-1ab = ϕ⇒ cos2ϕ = ab
= tanπ4 + ϕ + tanπ4 - ϕ
= 1 + tanϕ1 - tanϕ + 1 - tanϕ1 + tanϕ
= 21 + tan2ϕ1 - tan2ϕ
= 2cos2ϕ
= 2ba
The equation 3sinx + cosx = 4 has
only one solution
two solutions
infinitely many solutions
no solution
The value of cos45°cos712°sin712° is
18
14
116
General solution of sinx + cosx = mina∈R1, a2 - 4a + 6 is
nπ2 + - 1nπ4
2nπ + - 1nπ4
nπ + - 1n + 1π4
nπ + - 1nπ4 - π4
If a= 22, b = 6, A= 45°, then
no triangle is possible
one triangle is possible
two triangles are possible
either no triangle or two triangles are possible
In a triangle ABC, if sinA sinB = abc2, then the triangle is
equilateral
isosceles
right angled
obtuse angled