Question

solve for show your genuine​

Answer 1

Required Answer:-

Answer:

• cot(Q) = 9/7

Step By Step Solution:

We have,

➡ [cos(Q) + sin(Q)] / [cos(Q) - sin(Q)] = 8

On cross multiplying, we get,

➡ 8 × [cos(Q) - sin(Q)] = cos(Q) + sin(Q)

➡ 8cos(Q) - 8sin(Q) = cos(Q) + sin(Q)

➡ 8cos(Q) - cos(Q) = sin(Q) + 8sin(Q)

➡ 7cos(Q) = 9sin(Q)

➡ 7/9 = sin(Q)/cos(Q)

Now, we know that,

➡ tan(Q) = sin(Q)/cos(Q)

➡ tan(Q) = 7/9

➡ 1/cot(Q) = 7/9 [ cot(Q) is the reciprocal of tan(Q) ]

➡ cot(Q) = 9/7

★ Hence, the value of cot(Q) is 9/7