if A lies in the third quadrant and 3 tanA-4=0 then 5 sin2A + 3 sinA + 4cosA is equal to?
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if A lies in the third quadrant and 3 tanA-4=0 then 5 sin2A + 3 sinA + 4cosA is equal to?
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Step-by-step explanation:
3tanA=4⇒tanA=
3
4
tan
2
A=
9
16
,sec
2
A=tan
2
+1=
9
16
+1=
9
25
secA=
3
−5
,cosA=
5
−3
[since A lies in the third quadrant]
sin
2
A=1−cos
2
A=1−
25
9
=
25
16
⇒sinA=
5
−4
so sinA=−
5
4
and cosA=−
5
3
⇒5×2sinAcosA+3sinA+4cosA
⇒5×2−
5
4
×
5
3
+3×
5
4
+4×
5
3
⇒10×
15
12
−
5
12
−
5
12
=0
Verified answer
Step-by-step explanation:
Answer. Answer: When computer programs store data in variables, each variable must be assigned a specific data type. Some common data types include integers, floating point numbers, characters, strings, and arrays. ...