NDA2020MathematicsTrigonometric Ratios & IdentitiesActual
Paragraph: Read the following information and answer Let t_n= ^n + ^n . Question: What is the value of t₁₀ where =45^ ?
Options
- A1
- B1 4
- C1 16
- D1 32
Correct answer
C. 1 16
Step-by-step solution
t₁₀= ¹⁰( )+ ¹⁰( ) When =45^ , t₁₀= ¹⁰ (45^ )+ ¹⁰ (45^ ) aligned & = ( 1 2 )¹⁰+ ( 1 2 )¹⁰=2 ( 1 2 )¹⁰ & =2 1 32 = 1 16 aligned