PROBLEMS USING PROPERTIES INVERSE TRIGONOMETRIC FUNCTIONS

Property I :

Property II :

Sum and difference of inverse of sin cos and tan functions :

Find the value of

Problem 1 :

Solution :

Problem 2 :

Solution :

Problem 3 :

Solution :

Adjacent side = 3

opposite side = 2

Hypotenuse = √3² + 2²

= √9+4

= √13

In sin^-1 (29/√13),

opposite side = 29, hypotenuse = √13

Problem 4 :

Prove that

Solution :

Problem 5 :

Prove that

Solution :

Problem 6 :

Prove that

tan^-1x + tan^-1y + tan^-1z = tan^-1(x + y + z - xyz)/(1-xy-yz-zx)

Solution :

Problem 7 :

Prove that

Solution :

Problem 8 :

Solution :

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