Evaluate
4.cot45°+sec²60°+ sin²30°
Answers
Answered by
3
HELLO DEAR,
WE KNOW THAT:-
sin30° = 1/2,cosec45° = √2
cot45° = 1 , sec60° = 2
sec30° = 2/√3
=> (sin²30°+ 4cot²45° - sec²60) (Cosec²45° sec²30°)
=> [ (1/2)² + 4(1)² - 2² ] × [ (√2)² × (2/√3)² ]
=> ( 1/4 + 4 - 4 ) × ( 2 * 4/3 )
=> ( 1/4 ) × ( 8/3 )
=> 2/3
I HOPE ITS HELP YOU
WE KNOW THAT:-
sin30° = 1/2,cosec45° = √2
cot45° = 1 , sec60° = 2
sec30° = 2/√3
=> (sin²30°+ 4cot²45° - sec²60) (Cosec²45° sec²30°)
=> [ (1/2)² + 4(1)² - 2² ] × [ (√2)² × (2/√3)² ]
=> ( 1/4 + 4 - 4 ) × ( 2 * 4/3 )
=> ( 1/4 ) × ( 8/3 )
=> 2/3
I HOPE ITS HELP YOU
Answered by
1
Answer:
8.25
Step-by-step explanation:
cot45°=1
sec60°=2 => sec^2(60°) =4
sin30=1/2=0.5 => sin^2(30°) = 0.25
4cot45°+sec^2(60°) +sin^2(30°)
= 4(1) + 4 + 0.25
= 8.25
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