25. In APQR right angled at Q , PR + QR = 25 cm and PQ = 5 cm . Determine the values of sin
COSP and tanP
BY
Answers
Answered by
1
In Δ PQR , right - angled a...
MATHS
In ΔPQR, right-angled at Q. PR+QR=25 cm and PQ=5 cm. Determine the values of sin P, cos P, tan P
HARD
Share
Study later
ANSWER
⇒PQ=5cm
⇒PR+QR=25cm
⇒PR=25−QR
Now, In △PQR
⇒(PR)
2
=PQ
2
+QR
2
⇒(25−QR)
2
=5
2
+QR
2
⇒625+QR
2
−50QR=25+QR
2
⇒50QR=600
⇒QR=12cm
⇒PR=25−12=13cm
∴sinP=
PR
QR
=
13
12
,cosP=
PR
PQ
=
13
5
,tanP=
PQ
QR
=
5
12
Hence, the answers are sinP=
13
12
,cosP=
13
5
,tanP=
5
12
.
Similar questions