Question

given that 16 cot A=12,find the value of sin a+cos a/sin a-cos a. sin a+cos a/sin a-cos aमान बताइए, यदि 16cot a=12

Answer 1

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Answer 2

16cot A= 12
=>cot A= 12/16
=>b/p= 12/16
Let,b=12k , p=16k
As we know,
p2+b2=h2
=>(16k)2+(12k)2
=>256k2+144k2
=>400k2
=>(20)2
=>20

Sin a = p/h
= 16/20
=4/5

Cos a = b/h
= 12/20
=3/5

Sin a + cos a/sin a - cos a . Sin a + cos a/sin a - cos a

=4/5+3/5/4/5-3/5 . 4/5+3/5/4/5-3/5

=7/5/1/5 . 7/5/1/5

= 49 (Answer)


Hope it helps!!!