triangle ABC , right angled at B , if tan A = 1/√3 , Then prove that
Sin A cos C + sin C Cos A =
Cos A Cos C - Sin A cos C is right or wrong
Share
triangle ABC , right angled at B , if tan A = 1/√3 , Then prove that
Sin A cos C + sin C Cos A =
Cos A Cos C - Sin A cos C is right or wrong
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
Your answer
Plz mark it Brainlist.... Plz❤️
Step-by-step explanation:
10th
Maths
Introduction to Trigonometry
Trigonometric Ratios
In triangle ABC , right - a...
MATHS
In triangle ABC, right-angled at B, if tanA=
3
1
, find the value of:
(i) sinAcosC+cosAsinC
(ii) cosAcosC−sinAsinC
MEDIUM
Share
Study later
VIDEO EXPLANATION
ANSWER
In △ABC,
∠B=90
o
, tanA=
3
1
=
AB
BC
Let BC =1x,AB=
3
x
AC
2
=AB
2
+BC
2
AC
2
=(
3
x)
2
+(x)
2
=4x
2
AC=2x
(i) sinAcosC+cosAsinC=
2
1
×
2
1
+
2
3
×
2
3
=
4
1
+
4
3
=1
(ii) cosAcosC−sinAsinC=
2
3
×
2
1
−
2
1
×
2
3
=
4
3
−
4
3
=0