Trigonometry (10)

Prove that $(1 + \cot\theta - \csc\theta)(1+\tan\theta+\sec\theta) = 2$
From the top of a cliff, the angle of depression of the top and bottom of a tower
Prove the identity
(cosec πœƒ βˆ’ sin πœƒ)(sec πœƒ βˆ’ cos πœƒ)(tan πœƒ + cot πœƒ) = 1
In the given figure, ∠PQR = ∠PST = 90°, PQ = 5 cm and PS = 2 cm
The model of a building is constructed with the scale factor 1 : 30
A man observes the angle of elevation of the top of the tower to be 45
Prove that $\sqrt {\sec^2\theta + \csc^2\theta} $ = $ {\tan\theta + \cot\theta} $
The angle of elevation from a point P