Answer:
This means that A is in Quadrant I and B is in Quadrant I
Question 2:
Answer:
This means that A is in Quadrant II and B is in Quadrant I
Answer:
,
This means that A is in Quadrant III and B is in Quadrant IV
Answer:
This means that A is in Quadrant III and B is in Quadrant I
Answer:
This means that A is in Quadrant II and B is in Quadrant IV
,
Find the following:
Answer:
This means that A is in Quadrant II and B is in Quadrant I
Question 7: Evaluate the following:
Answer:
Question 8: , where A lies in the second quadrant and B in the third quadrant, find the values of the following:
Answer:
where A lies in the second quadrant and B in the third quadrant
Answer:
RHS. Hence proved.
Answer:
RHS. Hence proved.
Question 11:
Answer:
Question 12:
Answer:
Note:
RHS. Hence proved.
Note:
RHS. Hence proved.
Note:
RHS. Hence proved.
Answer:
Question 14:
Answer:
Question 15: Prove that
Answer:
Substituting it back
Since:
Question 16: Prove that:
Answer:
Question 17: Prove that:
Answer:
Answer:
RHS
LHS. Hence proved.
Answer:
Using Componendo and Dividendo
Answer:
Hence proved.
, find the value of
Answer:
Similarly,
, prove that
Answer:
Hence proved.
, prove that:
Answer:
Answer:
Answer:
Given
. Hence proved.
Answer:
Given:
… … … i)
… … … ii)
Solving i) and ii) we get
Also
are two different values of
lying between
which satisfy the equation
, find the value of
Answer:
Given
Eliminating
Squaring both sides
are roots of equation
Similarly
Eliminating
Squaring both sides
are roots of equation
, show that
Answer:
Given,
Question 29: Prove that:
Answer:
RHS. Hence proved.
RHS. Hence proved.
RHS. Hence proved.
, prove that
Answer:
Hence Proved.
, show that
Answer:
. Hence proved.
Question 32: If angle is divided into two parts such that the tangents of one parts is
times the tangent of other, and
is their difference, then show that
Answer:
Let be the two parts
Applying componendo and dividendo
Answer:
Dividing both numerator and denominator by
Hence proved.
Question 34: are two solutions of the equation
, then find the values of
Answer:
Squaring both sides
are the roots then
Squaring both sides
are the roots then
Now