Question

Please help me how to do this can you guys show me by step by step

Answer 1

Theta is written as B.

Answer:

Required value is 27 / 8.

Step-by-step explanation:

From the properties of trigonometric functions :

• 1 + tan^2 A = sec^2 A
• tan^2 A = sec^2 A - 1
• tanA = 1 / cotA { A ≠ ( 2n + 1 )π/2 , n € W )

Assuming that A is not any odd multiple integral multiple of π / 2

= > ( sec^2 B - 1 ) / cotB

= > tan^2 B / ( 1 / tanB )

= > tan^3 B

= > ( 3 / 2 )^3 { 2 tanB = 3 = > tanB = 3 / 2 }

= > 27 / 8

Hence the required value is 27 / 8.