Question

prove that sin73 cos 17 + cos73 sin17 = 1

Answer 1

Step-by-step explanation:

sin 73°cos17°+cos73°sin17°

sin 73°cos17°+cos73°sin17°= sin(73°+17°)

sin 73°cos17°+cos73°sin17°= sin(73°+17°)=sin90°

sin 73°cos17°+cos73°sin17°= sin(73°+17°)=sin90°=1

sin 73°cos17°+cos73°sin17°= sin(73°+17°)=sin90°=1mark me as a brainliest

Answer 2

Solution

$L.H.S$

$\implies \sin73^{\circ}\cos17^{\circ}+\cos73^{\circ}\sin17^{\circ}$

$=\sin73^{\circ}\cos(90^{\circ}-73^{\circ})+\cos73^{\circ}\sin(90^{\circ}-73^{\circ})$

$=\sin73^{\circ}\cdot \sin73^{\circ}+\cos73^{\circ}\cdot \cos73^{\circ}$

$=(\sin73^{\circ})^{2}+(\cos73^{\circ})^{2}$

$=\boxed{1}$

$R.H.S$

$\implies\boxed{1}$

So, $L.H.S=R.H.S\ \blacksquare$

More information

For more information please refer to the attachment.

• $P(x,y)$: Given point before translation.
• $P'(x,y)$: Given point after translation.
• The blue line: The line of symmetry.

Periodic Functions

(Tip: Every revolution gives equal magnitude, $\tan$ is a special case.)

• $\sin(2\pi n+\theta)=\sin\theta$
• $\cos(2\pi n+\theta)=\cos\theta$
• $\tan(\pi n+\theta)=\tan\theta$

Negative Angles

(Tip: Affects $y$ vertices only.)

• $\sin(-\theta)=-\sin\theta$
• $\cos(-\theta)=\cos\theta$
• $\tan(-\theta)=-\tan\theta$

Supplementary Angles

(Tip: Affects $x$ vertices only.)

• $\sin(\pi -\theta)=\sin\theta$
• $\cos(\pi -\theta)=-\cos\theta$
• $\tan(\pi-\theta)=-\tan\theta$

Complementary Angles

(Tip: Symmetry against $y=x$)

• $\sin(\dfrac{\pi}{2} -\theta)=\cos\theta$
• $\cos(\dfrac{\pi}{2} -\theta)=\sin\theta$
• $\tan(\dfrac{\pi}{2} -\theta)=\dfrac{1}{\tan\theta}$