Question

If 3 sin A = 1, find the value of 3cot2A + 2.

Answer 1

Step-by-step explanation:

3cosA=4sinA

tanA=

4

3

tanA=

B

P

=

4

3

Using Pythagoras Theorem,

H

2

=P

2

+B

2

H

2

=3

2

+4

2

H

2

=5

2

H=5

Now, 3−cot

2

A+csc

2

A = 3−(

P

B

)

2

+(

P

H

)

2

= 3−(

3

4

)

2

+(

3

5

)

2

= 3−

9

16

+

9

25

=

9

27−16+25

=

9

36

= 4

Answer 2

Answer:

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