Question

Can anyone solve this problem one by one. I will mark them brainliiest. But please solve all these problems​

Answer 1

Answer:

1) 0, (2) 4 (3) - 5/2 (4) 60° (5) 3/2 (6) - 1/2 (7) 45°, 15° (8) 45°

Step-by-step explanation:

1)tan(theta) = 1 => theta = 45°, 2(1/2) - 3(1/2) +1/2(1) = 0

2) [cos(@) + sin(@)] /[cos(@) - sin(@)] = [1+ tan(@)] /[1-tan(@)]

=> @ = 60° acc. to given information, 2(4) - 3(4/3) = 4

3)(3*1/2 +2*1/2)/(1-2) = - 5/2

4)3sin(@)^2 = 9/4 => sin(@) = (root over 3) /2 => @ = 60°

5) tan(@) =1 => @ = 45°, 2(1) + 1/2 - 1 = 3/2

6) cos^2(x°) = 1/4 => cos(x°) = 1/2 => x = 60°, 1/4 - 3/4 = - 1/2

7) A + B = 60°, A - B = 30 ° => A = 45°, B = 15°

8) sec@ = cosec@ => tan@ = 1 => @ = 45°

In all above solutions angles are acute it is given.