15. Which of the following is equal to $\left(\operatorname{cosec} 30^{\circ}\right)\left(\cos 60^{\circ}\right)\left(\tan 45^{\circ}\right)\left(\sin 90^{\circ}\right)\left(\sec 45^{\circ}\right)$ ?
1. $1 / 2$
II. 1
III. 0
IV. $\sqrt{2}$
A. I only
B. II only
C. III only
D. IV only

Answer

Expert–verified

Hide Steps

Answer

Multiply the values together: $2 \times \frac{1}{2} \times 1 \times 1 \times \sqrt{2} = \boxed{\sqrt{2}}$

Steps

Step 1 ：Calculate the values of the trigonometric functions: $\operatorname{cosec} 30^\circ = 2$, $\cos 60^\circ = \frac{1}{2}$, $\tan 45^\circ = 1$, $\sin 90^\circ = 1$, $\sec 45^\circ = \sqrt{2}$

Step 2 ：Multiply the values together: $2 \times \frac{1}{2} \times 1 \times 1 \times \sqrt{2} = \boxed{\sqrt{2}}$

15. Which of the following is equal to $\left(\operatorname{cosec} 30^{\circ}\right)\left(\cos 60^{\circ}\right)\left(\tan 45^{\circ}\right)\left(\sin 90^{\circ}\right)\left(\sec 45^{\circ}\right)$ ?1. $1 / 2$II. 1III. 0IV. $\sqrt{2}$A. I onlyB. II onlyC. III onlyD. IV only

Answer

Popular Problems

15. Which of the following is equal to $\left(\operatorname{cosec} 30^{\circ}\right)\left(\cos 60^{\circ}\right)\left(\tan 45^{\circ}\right)\left(\sin 90^{\circ}\right)\left(\sec 45^{\circ}\right)$ ?
1. $1 / 2$
II. 1
III. 0
IV. $\sqrt{2}$
A. I only
B. II only
C. III only
D. IV only