Get 2 FREE Instant-Explanations on Filo with code FILOAPP

In PQR, Q is a right angle PQ=3,QR=4. If P= and R=, then fi

Question

In $△ PQR, ∠ Q$ is a right angle $PQ = 3, QR = 4$ . If $∠ P = α$ and $∠ R = β$ , then find the values of
$sin α$

Views: 676 students

Found 4 tutors discussing this question

Luna Discussed

△ PQR, ∠ Q

is a right angle

PQ = 3, QR = 4

. If

∠ P = α

and

∠ R = β

, then find the values of

sin α

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Given:

PQ = 3, QR = 4

\Rightarrow (PQ)^{2} + (QR)^{2} = (PR)^{2} \Rightarrow (3)^{2} + (4)^{2} = (PR)^{2}

\Rightarrow (PR)^{2} = 25 \Rightarrow PR = 25 = \pm 5

but side

PR

can't be negative so,

PR = 5

sin α

we know that

sin θ = \frac{s i d e o pp os i t e t o an g l e θ}{h y p o t e n u se}

here

θ = α

s
side opposite to angle

α = QR = 4

Hypotenuse

= PR = 5

So,

sin α = \frac{4}{5}

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	In $△ PQR, ∠ Q$ is a right angle $PQ = 3, QR = 4$ . If $∠ P = α$ and $∠ R = β$ , then find the values of $sin α$
Answer Type	Text solution:1
Upvotes	150