Question

If Cos P = 4/5 and P is an acute angle, what is the value of tan P?

Answer 1

Step-by-step explanation:

ANSWER

cosP=

7

1

sinP=

1−cos

2

P

=

1−

49

1

=

49

48

=

7

4

3

( sinP will be positive because P is an acute angle )

cosQ=

14

13

sinQ=

1−cos

2

Q

=

1−

196

169

=

196

27

=

14

3

3

Now,

cos(P−Q)=cosPcosQ+sinPsinQ

=

7

1

×

14

13

+

7

4

3

×

14

3

3

=

98

49

=

2

1

⇒P−Q=60

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