Question

1) 4 sin²45+3 tan²30+8sin45.cos45​

Answer 1

Answer:

Step-by-step explanation:

4 sin²45°+3tan²30°+8sin45°cos45°

=4×(1/√2)²+3(1/√3)²+8×1/√2×1/√2

=4/2+3/3+8/2

=2+1+4=7.(Answer)

Answer 2

Step-by-step explanation:

Evaluate the following without using a calculator:

a) 2 sin 30˚ + 3 cos 60˚ – 3 tan 45˚

b) 3(cos 30˚)2 + 2 (sin 30˚ )2

Solution:

a) 2 sin 30˚ + 3 cos 60˚ – 3 tan 45˚

b) 3(cos 30˚)2 + 2 (sin 30˚)2