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If cosα=0.082 and sinβ=0.802 with both angles’ terminal rays in Quadrant-I, find the values of cos(α+β)...

If cosα=0.082 and sinβ=0.802 with both angles’ terminal rays in Quadrant-I, find the values of cos(α+β) and sin(β−α)

Expert Solution

Solution-

We have-

and

Since these value lie in first quadrant where all trignometric functions are positive.

We know that

On putting the value,we get

Similarly

On putting the value,we get

Now,

(a)

We know the formula

On putting the values,we get

(b)

Again we know the formula

On putting the values,we get

Hence,

milcah answered 3 years ago

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