Question

If cos x=1/2 then tan x is equal to

Answer 1

Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is

A

3

(−4±

7

)

cosx+sinx=

2

1

Divide both sides by cosx

1+tanx=

2cosx

1

Square both sides

(1+tanx)

2

=

4

sec

2

x

(1+tan

2

x+2tanx)4=sec

2

x=1+tan

2

x

After simplification

3tan

2

x+8tanx+3=0

D=d

2

=b

2

−4ac=64−36=28

d=±2

7

These are 2 real roots

tanx=

2a

−b

±

2a

d

=

6

−8

±

6

2

7

=

3

−4±

7

.

Answer 2

Answer:

Mark as brainliest answer.

Step-by-step explanation:

→ cos x = 1/2

→ 2 cos x = 1

→ 2 cos 60 = 1

→ 2(1/2) = 1

→ 2/2 = 1

→ 1 = 1

→ So . x = 60

→ tan x

→ tan 60 = √3