Question

If 3cos A = 4sin A, find the value of 4cos^2 - 3sin^2 A + 2 ​

Answer 1

Answer:

ANSWER

3cosA=4sinA

tanA=

4

3

tanA=

B

P

=

4

3

Now, Using Pythagoras Theorem,

H

2

=P

2

+B

2

H

2

=3

2

+4

2

H=5

Now, 4cos

2

A−3sin

2

A+2

= 4(

H

B

)

2

−3(

H

P

)

2

+2

= 4(

5

4

)

2

−3(

5

3

)

2

+2

=

25

64

−

25

27

+2

=

25

64−27+50

=

25

87

= 3

25

12

Answered By

toppr

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Answer 2

Answer:

Value of 4 Cos^2 - 3sin^2 A + 2 = 3/25