Question

Without using tables evaluate : 4sin72degree/cos 18 degree - 3 sec34 degree/cosec56 degree 3​

Answer 1

Step-by-step explanation:

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Given:

sin234∘+sin256∘+2tan18∘tan72∘−cot230∘

=sin234∘+sin2(90∘−34∘)+2tan18∘tan(90∘−18∘)−cot230∘

=sin234∘+cos234∘+2tan18∘cot18∘−(3)2

=1+2tan18∘×tan18∘1−3

=1+2−3

=0

Answer 2

Answer:

Given:

sin234∘+sin256∘+2tan18∘tan72∘−cot230∘

=sin234∘+sin2(90∘−34∘)+2tan18∘tan(90∘−18∘)−cot230∘

=sin234∘+cos234∘+2tan18∘cot18∘−(3

)2

=1+2tan18∘×tan18∘1−3

=1+2−3

=0

Step-by-step explanation:

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