Question

Sin^3 30°+ Cos^3 30° + Tan^3 30° + cot^3 30° + sec^3 30°+ cosec^3 30°

Answer 1

Step-by-step explanation:

hence the answer must will be right

Answer 2

Answer:

Sin^3 30°+ Cos^3 30° + Tan^3 30° + cot^3 30° + sec^3 30°+ cosec^3 30°=>(26√3 / 16) +( 42√3 / 3√3)

Step-by-step explanation:

Given;

Sin³ 30°+ Cos³ 30° + Tan³ 30° + cot³ 30° + sec³ 30°+ cosec³ 30°

• Sin³ 30° = (1/2)³
• Cos³ 30°  = (√3/2)³
• Tan³ 30° =  (1/√3)³
• cot³ 30°  = (√3)³
• sec³ 30° = (2 /√3)³
• cosec³ 30° =  (2)³

=> (1/2)³ + (√3/2)³+ (1/√3)³+ (√3)³+ (2 /√3)³ + (2)³

=> ((1/8)+ (3√3/2)) + ((1/3√3)+(3√3))+((8/3√3)+ (8))

=>((2+24√3)/16) + ((1+(3√3)²) / 3√3) + ((8+24√3) /3√3)

=>(26√3 / 16) + (1+9/ 3√3) + (32√3 / 3√3)

=> 26√3 / 16) + (10/ 3√3) + (32√3 / 3√3)

=>26√3 / 16) + ((10 + 32√3/3√3)

=>(26√3 / 16) +( 42√3 / 3√3)

Therefore Sin^3 30°+ Cos^3 30° + Tan^3 30° + cot^3 30° + sec^3 30°+ cosec^3 30°=>(26√3 / 16) +( 42√3 / 3√3)

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