Question

The general value of sec x - cosec x =4÷3

Answer 1

As we know,Sec(x) = Cosec(x) = Hence, we will convert given equation in form of cos(x) and sin(x)sec(x) - cosec(x) = 4/3=> -  = 4/3=>Multiplying denominator both sides by -2,=>Adding and subtracting 1 from left side denominator,
=>=> Let us assume (sin(x)-cos(x) = p=>=>=>=>(2p+1)(p+2) = 0=> p = -, -2sin(x) - cos(x) can never be -2 (if sin(x) = -1, cos(x)  1)Hence, sin(x)-cos(x) = -
hope it may help u..
thanks...