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**tyuighp****Member**- Registered: 2015-12-04
- Posts: 12

Find all angles θ in [0, 2π) for which

sin θ + cos θ + tan θ + cot θ + sec θ + csc θ = 6.4

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

Sin2θ = -1, 0.96, 26

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,228

hi NakulG

I hadn't got anywhere with this. Please would you give a few hints/. Thanks

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

sinθ + cos θ = x and sinθcosθ=y

substituting we get

x^3 - 6.4x^2+x+8.4=0

Solve for x, so x = -1, 1.4 & 6

Hope this helps...

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,228

hi NakulG

Many thanks for that. I'll give it a try.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

:-)

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,228

hi NakulG

Yep! Got it now. That's an inspired substitution! Thanks once again. colon bracket with no minus gives a on this forum.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

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