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RD Chapter 4 Inverse Trigonometric Functions Ex 4.13 Solutions

Question - 1 : -

If cos-1 (x/2) + cos-1 (y/3) = α, thenprove that 9x2 – 12xy cos α + 4y2 = 36 sin2 α

Answer - 1 : -

Given cos-1 (x/2)+ cos-1 (y/3) = α

Hence, proved.

Question - 2 : - Solve the equation: cos-1 (a/x)– cos-1 (b/x) = cos-1 (1/b) – cos-1 (1/a)

Answer - 2 : -

Given cos-1 (a/x)– cos-1 (b/x) = cos-1 (1/b) – cos-1 (1/a)

Question - 3 : -

Solve :

Answer - 3 : -


Question - 4 : -

Prove that:

Answer - 4 : -


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