Q38 of 42 Page 193

If m sin θ + r cos θ = p and m cos θ – n sin θ = q, then prove that m2 + n2 = p2 + q2.

We have …(1)


And …(2)


Squaring (1) and (2) we get


⇒ …(3)


And


⇒ …(4)


Add (3) and (4)


We get






Hence Proved.


More from this chapter

All 42 →
36

If x = asin θ, y = b tan θ, Prove that .

 37

If sec θ + tan θ = p. Prove that .

 39

If 3 x = sec θ and find the value of .

 40

If cos x + sin x = √2 cos x then prove that cos x – sin x = √2 sin x.