Question

if costheta=2/3 then find the value of 2secsquaretheta+2tansquaretheta-7​

Answer 1

Answer:

0

Step-by-step explanation:

Given, Cosθ=2/3

Note, Cosθ=Secθ

and 1+Tan²θ=Sec²θ

Then, 2Sec²θ+2Tan²θ-7=2Sec²θ+2(Sec²θ-1)-7

=4Sec²θ-9=4/Cos²θ -9=4/(4/9) -9=9-9=0

Hence, 2Sec²θ+2Tan²θ=0