30° 47.. V2-1 Let LA be an acute angle and tan A= V2+1 find cos A.

Question

Question

Answer 1

Answer #1

We are given the value of tanA.

Also, angle A is an acute angle. This means that cosA is positive(positive in 1st quadrant)

We need to find the value of cosA.

The figure below shows the steps:

47 Given LA is and acute angle And, tanA = Vz-1 V2+1 To finds Cost We know that 1+tan? A = sec²A cos²A Ittan²A sec²A => . cos

Hence, the value of cosA is:

CosA = (√2 +1)/√6 = 0.986

Answer 2

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