Trigonometry Questions

The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan
2
A+cos
2
C?

If μ=60
∘
, then sinμ+cos(90
∘
−μ)=

Evaluate:
$${\left(\frac{\sin 23^{\circ }\cos 67^{\circ }+\cos 23^{\circ }\sin 67^{\circ }}{{\mathrm{cosec}}^{2}15^{\circ }-{\tan }^{2}75^{\circ }}\right)}^3$$

If A is an acute angle, what is the value of cscA, if cotA=
p
2
−1
2p
​
?

The value of cscθ[
1+cscθ
sinθ
​
+
sinθ
1+cscθ
​
]−2cot
2
θ is equal to:

Which of the following is NOT a correct formula?