Maharashtra Board Solutions for Chapter: Trigonometry, Exercise 3: Problem set 8

$2\tan 45°+\cos 45°– \sin 45°=?$

$\frac{\cos 28°}{\sin 62°}=?$

In right angled $∆\mathrm{TSU}, \mathrm{TS}=5, \angle \mathrm{S}=90°, \mathrm{SU}=12$ then find $\mathrm{sinT}, \mathrm{cosT}, \mathrm{tanT}$. Similarly find $\mathrm{sinU}, \mathrm{cosU}, \mathrm{tanU}$.

In right angled $∆\mathrm{YXZ}, \angle \mathrm{X}=90°, \mathrm{XZ}=8 \mathrm{cm}, \mathrm{YZ}=17 \mathrm{cm}$, find $\mathrm{sinY}, \mathrm{cosY}, \mathrm{tanY}, \mathrm{sinZ}, \mathrm{cosZ}, \mathrm{tanZ}$.

In right angled $∆\mathrm{LMN}$, if $\angle \mathrm{N}=\mathrm{\theta }, \angle \mathrm{M}=90°, \mathrm{cos\theta }=\frac{24}{25}$, find $\mathrm{sin\theta }$ and $\mathrm{tan\theta }$. Similarly, find $\left({\sin }^2\mathrm{\theta }\right)$ and $\left({\cos }^2\mathrm{\theta }\right)$.

$\sin 20°=\cos$_____$°$

$\tan 30°\times \tan$ _____ $°=1$

$\cos 40°=\sin$ _____ $°$