Question

if two tan tetha=1 find the value of 4sec^2 tetha is​

Answer 1

Answer:

Correct option is

B

−

28

33

According to the given condition, (2tanθ+2)

2

=(3tanθ+3)tanθ

⇒4tan

2

θ+8tanθ+4=3tan

2

θ+3tanθ

⇒tan

2

θ+5tanθ+4=0

So, tanθ=−1 or −4, but −1 doesn't satisfy the G.P. condition as two terms become 0.

9−4

sec

2

θ−1

7−5cotθ

=

9−16

7+1.25

=

−7

8.25

=