Question

If 4cot = 3, then find the value of tan + cot .

Answer 1

Answer:

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Step-by-step explanation:

It is given that 4cotA=3

Thus cotA=43=PB

P=4, B=3

Now, H2=P2+B2

H2=32+42

H2=52

H=5

cosec2A−cot2A=(PH)2−(PB)2 

= (45)2−(43)2

= 1625−169

= 1616

= 1