If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is:
Given – sin + cseccθ = 2, let x = sin θ, then cosec θ =1/x ATQ- x+1/x =2 x²+1 = 2x x²-2x+1 0 (x-1)2 = 0 x-1 =0 x =1. Thus, sin θ = 1, which means θ = 90°. Now, Sin 2 θ = 15=1 Similarly, Cosec2 θ = 1 Therefore, Sin 2 θ + Cosec2 θ =1+1=2 So, the value is 2.
If (x+1/x)2 = 3 Then the value of
x96 + x66 + x42 + x18 + x12 + 1 is
If = 4 then
If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%,then the area of the rectangle increases by x%. Then the value of ...
if a2 + b2 + c2 = 2(4a -5b -6c)-77 , then a-b-c = ?
What is the simplified form of the expression?
(1 + x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x)?
A.(1-x40)
B.(1-x1...
Find the value of ‘x’ in the given expression:
(49/16)x× (64/343)x-1 = 4/7
If A = (7)1/3 + (7) -1/3, then the value of {3A3 – 9A} will be: