Math, asked by Anonymous, 1 year ago

the solution of equation sec theta -cosec theta =4/3

Answers

Answered by adee1729
50
new question

sec@-cosec@=4/3,

1/cos@ - 1/sin@=4/3,

(sin@-cos@)/[email protected]@ =4/3,

(sin@-cos@)=4sin@cos@/3,

S.B.S

(sin@-cos@)²=16sin²@.cos²@/9,

sin²@+cos²@[email protected]@=16sin²@.cos²@/9,

1-2sin@cos@=16sin²@.cos²@/9,

9-18sin@cos@=16([email protected]@)²,

16([email protected]@)²[email protected]@-9=0,

16([email protected]@)² [email protected]@[email protected]@-9=0,

[email protected]@([email protected]@+3)-3([email protected]@+3)=0,

([email protected]@+3)([email protected]@-3)=0,

take
[email protected]@-3=0


[email protected]@=3/4,

sin2@=3/4,

then
2@=[sin^(-1) 3/4],

@=1/2 [sin^(-1) 3/4]

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Answered by md427
5

Answer:

Step-by-step explanation:sec@-cosec@=4/3,

1/cos@ - 1/sin@=4/3,

(sin@-cos@)/[email protected]@ =4/3,

(sin@-cos@)=4sin@cos@/3,

S.B.S

(sin@-cos@)²=16sin²@.cos²@/9,

sin²@+cos²@[email protected]@=16sin²@.cos²@/9,

1-2sin@cos@=16sin²@.cos²@/9,

9-18sin@cos@=16([email protected]@)²,

16([email protected]@)²[email protected]@-9=0,

16([email protected]@)² [email protected]@[email protected]@-9=0,

[email protected]@([email protected]@+3)-3([email protected]@+3)=0,

([email protected]@+3)([email protected]@-3)=0,

take

[email protected]@-3=0

[email protected]@=3/4,

sin2@=3/4,

then

2@=[sin^(-1) 3/4],

@=1/2 [sin^(-1) 3/4]

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