Question

If 5 tan @ = 4 tan 45º, find the value of
5 Sin 8–4 Cos 8
5 Sin 8+ 4 Cos​

Answer 1

5tanα=4tan45° by dividing both sides of the equation by 5

tanα=4tan45°/5 since value of tan45°=1,

then tanα=4/5.

From trigonometry ratio the value of sinα=4/√41 & cosα=5/√41

Substitute the values into 5sinα-4cosα/5sinα+4cosα

5(4/√41) - 4(5/√41) / 5(4/√41) + 4(5/√41) = 0

After simplifying the result is zero 0.