Find the value of this
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Hey there!
It can be solved by using basic trigonometry,
we know that,
sin30 = cos60 = 1/2
cos 45 = 1/√2
tan45 = 1
Now your question,
5cos²60+4sin²30-tan²45 / sin²30 + cos²45
= 5 ( 1/2)² + 4(1/2)² - 1² / (1/2)² + (1/√2)²
= 5/4 + 1 - 1 / 1/4 + 1/2
= 5/4 / ( 3/4 )
= 5/4 * 4/3
= 5/3 .
Hope helped!
It can be solved by using basic trigonometry,
we know that,
sin30 = cos60 = 1/2
cos 45 = 1/√2
tan45 = 1
Now your question,
5cos²60+4sin²30-tan²45 / sin²30 + cos²45
= 5 ( 1/2)² + 4(1/2)² - 1² / (1/2)² + (1/√2)²
= 5/4 + 1 - 1 / 1/4 + 1/2
= 5/4 / ( 3/4 )
= 5/4 * 4/3
= 5/3 .
Hope helped!
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