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