SOLVING INVERSE TRIG FUNCTIONS WITH SIN COS TAN WORKSHEET

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Prove that

Problem 1 :

cos-1 45 + cos-1 1213 =cos-1 3365

Solution

Problem 2 :

cos-1 1213 + sin-1 35 =sin-1 5665

Solution

Problem 3 :

Show that 

sin-1 1213 + cos-1 45 + tan-1 6316 =𝜋

Solution

Problem 4 :

Prove that 

sin-1 35 - sin-1 817 = cos-1 8485

Solution

Problem 5 :

Solve

cos-1 x + sin-1 x2 = 𝜋6

Solution

Problem 6 :

If sin-1 2a1 + a2 - cos-1 1 - b21 + b2 = tan-1 2x1 - x2Then prove that x = a - b1 + ab

Solution

Answer Key

1) proved

2) proved

3) proved

4) proved

5) x = 1 and x = -1

6)  proved

Problem 1 :

sin-1 35 + sin-1 817 = sin-1 7785

Solution

Problem 2 :

sin-1 45 + sin-1 513 + sin-1 1665 = 𝜋2

Solution

Solve :

Problem 3 :

sin-1 3x5 + sin-1 4x5 = sin-1 x

Solution

Problem 4 :

sin-1 (1 - x) - 2sin-1x = 𝜋2

Solution

Answer Key

1) proved

2) proved

3)  x = 1, x = -1

4) x = 0 and x = 1/2

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