Question

show that tan 48° tan° 74 tan 42° tan 16°=1


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Answer 1

Answer:

Hope this above attachment will help you my friend

Answer 2

Answer:

Tan 48⁰ tan 74⁰ tan 42⁰ tan 16⁰ = 1

• Rearrange the terms for easy processing

Tan 48⁰ tan 42⁰ tan 74⁰ tan 16⁰ = 1

Tan ( 90⁰ - 42⁰) tan 42⁰ tan ( 90⁰ - 16⁰) tan 16⁰ = 1

Tan cot 42⁰ tan 42⁰ cot 16⁰ tan 16⁰ = 1

$\frac{1}{ \tan(42 {}^{0} ) } \times \tan(22 {}^{0} ) \times \frac{1}{ \tan(16 {}^{0} ) } \times \tan(16 {}^{0} ) = 1$

1× 1

1 = 1

LHS = RHS

I hope answer is helpful to us