Question 1: In a right angles triangle , right angled at
, if
, find all the six trigonometric ratios of
.
Answer:
Therefore,
Answer:
By Pythagoras theorem, we have
Answer:
, therefore
Answer:
By Pythagoras theorem, we have
Answer:
By Pythagoras theorem, we have
LHS = RHS.
Hence proved.
Answer:
By Pythagoras theorem, we have
Therefore LHS = RHS. Hence proved.
Question 7: In the given figure, . Determine (
Answer:
By Pythagoras theorem, we have
Therefore:
,
i) is ii) is
Answer:
Answer:
RHS. Hence proved.
Answer:
Squaring on both sides,
Answer:
Answer:
Therefore LHS = RHS. Hence proved.
Answer:
Dividing both the numerator and denominator by we get
Answer:
Answer:
By Pythagoras theorem,
Answer:
By Pythagoras theorem we get
Answer:
By Pythagoras theorem we get
RHS =
Therefore LHS = RHS. Hence proved.
Answer:
Answer:
By Pythagoras theorem, we get
Question 20: If , find
Answer:
, find
Question 21: If are acute angles such that
, then show that
Answer:
Since
(angles opposite equal sides of a triangle are equal)
Question 22: In a triangle, are acute angles such that
, show that
Answer:
Given that
(angles opposite equal sides of a triangle are equal)
Question 23: If is an acute angle such that
, find the value of
Answer:
Question 24: In adjoining figure, is right angles at
is the midpoint of
.
,
. Find
Answer:
By Pythagoras theorem
ii) By Pythagoras theorem