Question

if 3 sinQ + 5 Cos Q = 5
then
5 sin Q - 3 Cos Q=?​

Answer 1

Answer:

ᴋɪɴᴅʟʏ ʀᴇғᴇʀ ᴛᴏ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ᴀʙᴏᴠᴇ

Answer 2

Guys if i answer correct then please mark me as brainliest..

Given: 3sinQ+5CosQ=5

Squaring on both sides, we get:

(3sinQ+5cosQ)² =(5)²

9sin²Q+25cos²Q+30sinQcosQ=25

9sin²Q+25(1-sin²Q)+30sinQcosQ=25

9sin²Q+25-25sin²Q+30sinQcosQ=25

9sin²Q-25sin²Q+30sinQcosQ=0

9(1-cos²Q)-25sin²Q+30sinQcosQ=0

9-9cos²Q-25sin²Q+30sinQcosQ=0

-9cos²Q-25sin²Q+30sinQcosQ=-9

Taking minus as common

-(9cos²Q+25sin²Q-30sinQcosQ)= -9

Cancelling minus from both sides

(9cos²Q+25sin²Q-30sinQcosQ)=9

{ (3cosQ)²+(5sinQ)²-2(3cosQ)(5sinQ) } =9

(5sinQ-3cosQ)²=9

5sinQ-3cosQ=√9

5sinQ-3cosQ=3