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Mar Dionysius Senior Sec. School
Rishi Valley,
Mallappally, Kerala, India-689534
Paper : x mat Trigonometry
Q.1
If
Q.2
, find the values of sin
and tan
in terms of x.
(Marks : 2 )
From the figure, find the value of
(Marks : 3 )
Q.3
If 5tan
= 4, show that
(Marks : 3 )
Q.4
If tan
=
If tan
=2+
, find the values of other t - ratios
(Marks : 3 )
Q.5
Q.6
, show that sin
cos
=
(Marks : 3 )
With the help of the figure, find the value of tan
(Marks : 3 )
Q.7
Verify that
(Marks : 3 )
Q.8
Q.9
Prove the following identity:
(sin + cosec )2 + (cos + sec
)2 = 7 + tan2
+ cot2
Prove the following identity:
(Marks : 3 )
Q.10
Prove the following identity
(Marks : 3 )
Q.11
Prove the following identity:
Evaluate without using trigonometric tables,
(Marks : 3 )
(Marks : 3 )
Q.12
If x = asec
+ btan
, y = atan
+ bsec
, prove that x2 - y2 = a2 - b2
B) Evaluate without using the trigonometric tables:
(Marks : 3 )
Q.13
With the help of the figure, find the value of tanA - sinB + cosA
(Marks : 5 )
Q.14
From the figure, find the value of (cosec2y - cot2y)
(Marks : 6 )
Q.15 Prove the following identity
sin2
cos2
OR
(Marks
:6)
Q.16
In figure, AD = DB and
B is a right angle. Determine sin2
(Marks : 6 )
+ cos2
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