A triangle ABC is inscribed in a circle.If the sum of squares of sides of a triangle is equal to twice the square of diameter then sin²A+sin²B+sin²C is equal to
Consider the following statements
1.There exists no value of x such that 1/(1-sinx)=4+2√3,0<x<π/2
2. sin x=3^sin²x does not hold for any real x
If sin x +cos x=c then (sin ^6)x+(cos^6)x=²
From the top of a tower,angles of depression of two objects P and Q seperated at a distance of 100(3-√3) are 45° and 60° respectively.The height of the tower is
1.There exists atleat one value of x between 0 and ∏/2 which satisfies the equation sin^4x-2sin²x-1=0
2.sin 1.5 > cos 1.5
Which of the above statements are correct?
The value of cosec²67+sec²57-cot²33-tan²23 is