and
3'
2
tan A+tan B
tan (A+B)=
1-tan Atan B
show that A + B = 45°
11
find the value of tan 60°, it
E
2 tan A
17. Using the formula, tan 2A=
1-tanA'
1
being given that tan 30º =
3
PA
0°cos 30°-os 60°sin 30°
15°cos 30° + sin 45°sin 30°
1+cos 2A
18. Using the formula, cos A=
find the value of cos 30°, it
2
с
0°
1
being given that cos 60º =
2
2
1
cot60°
3
30°
-5° + cos 60°)
30° + sin 60°
n 30° + cos 60°
= cos 30°
1-cos 2A
19. Using the formula, sin A =
find the value of sin 30°, it
2
1
being given that cos 60º =
2
20. If sin (A+B)=sin Acos B+cos Asin B
and cos (A-B)=cos Acos B+ sin Asin B,
find the values of (i) sin 75° (ii) cos 15º.
(CBSE 2015
HINT Take A = 45° and B= 30°.
21. If tan (x +30°)=1 then find the value of x.
(CBSE 2016]
22. If
cot 0-1_1-13
then find the acute angle 0.
[CBSE 2013]
cot 0 +1 1+ 13
1
23. If sin (A+B)=1 and tan (A-B)=
M
x 2x)
30°
30°
[CBSE 2016]
2cos A-1=1-2sin’A
find the values of A and B.
<B° B
n²A
n'a
13
24. If sin (A+B)= and cos (A-B)=,0° <(A+B) < 90° and AB
2
2
then find the values of A and B.
(CBSE 2011]
D
2 tan A
1-tan? A
(iii) tan 2A =
25. If tan (A-B)=
1/3
and tan (A+B)= 13, 0°<(A+B)< 90° and AB
13
then find the values of A and B.
[CBSE 2016]
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