In δpqr, ∠p and ∠q are complimentary angles. if sinq = 4/5 , cosp + cosq =

CosP +CosQ =   .

Step-by-step explanation:

Given : In ΔPQR, ∠P and ∠Q are complimentary angles. If sinQ = 4/5 .

To find :  cosP + cosQ =

Solution : We have given that ∠P and ∠Q are complimentary angles.

P + Q = 90 .

Q = 90 - P.

Then sin( 90 -p ) = .

As we know that sin( 90 -p ) = CosP = .

We have SinQ = .

CosQ =

Plugging the value of  SinQ

CosQ = .

CosQ = .

CosQ =.

CosQ =   .

CosP +CosQ =   +  .

CosP +CosQ =   .

Therefore, CosP +CosQ =   .